Index to OEIS: Section Per

Index to OEIS: Section Per

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percolation series , sequences related to :

percolation series (1):: A006462, A006731, A006808, A006727, A006461, A006836, A006732, A006734, A006728, A006730

percolation series (2):: A006462, A006731, A006808, A006727, A006461, A006836, A006732, A006734, A006728, A006730

percolation series (3):: A006742, A006738, A006733, A006729, A006837, A006803, A006807, A006804, A006739, A006835

percolation series (4):: A006813, A006809, A006735, A006810, A006838, A006805, A006811, A006740, A006736, A006806, A006812, A006741, A006737

perfect lattices: see lattices, perfect
Perfect matchings, A005271
perfect numbers: A000396*, A002827* (unitary), A007539 (n-fold)
perfect partitions: A002033*
perfect powers: A001597*, A007916, A023055, A023057

perfect rulers , sequences related to :

perfect rulers: A004137, A104305-A104310, A103294-A103301

perfect rulers: see also Golomb rulers

perfect years: A061013
Perfect:: A002033, A004026, A002839, A007346, A007422, A007357, A005820

period of continued fraction for sqrt(n) , sequences related to :

period of continued fraction for sqrt(n), length of: A003285*, A097853

period of continued fraction for sqrt(n), see: sqrt(n), length of period of continued fraction for

period of reciprocal of n: see 1/n
period of reciprocal of nth prime: see 1/p
periodic differences: see Index to sequences with linear recurrences with constant coefficients with signatures of the form (1,0,0,0...1,-1)

periodic sequences:

For (eventually) periodic sequences, see the special Index to periodic sequences (in particular, sequences with period length >= 10, period length >= 1000).

1-periodic, i.e., (eventually) constant sequences: see Index to (eventually) constant sequences

anti-periodic sequences: see Index to 2-periodic sequences, linear recurrence order 1, signature (-1)

see also: Index to linear recurrences with constant coefficients.

periodic table: A007656*, A058317, A058318
Periods:: A003285, A006447, A006883, A002329
Permanents:: A003113, A000794, A005326, A003112, A000804, A000805
permutation groups: see groups, permutation

permutations , sequences related to :

Permutations, alternating: A000111*, A007289, A007286, A005981, A006873, A005982, A005983

permutations, asymmetric: A000899

Permutations, Baxter, A001183, A001181, A001185

permutations, bitriangular: A006230

Permutations, by cycles, A005225, A005772

Permutations, by descents, A002538, A002539

permutations, by distance: A002524, A002525, A002526, A002527, A002528, A002529, A000045, A072856, A154654, A154655, A154656, A154657, A154658, A154659

Permutations, by inversions, A001892, A000707, A001893, A001894, A005287, A005283, A005284, A005285

Permutations, by length of runs, A001251, A001252, A001253, A000303, A000402, A000434, A000456, A000467, A000517

Permutations, by number of peaks, A000487

Permutations, by number of runs, A000352, A000363, A000486, A000506, A000507

Permutations, by number of sequences, A001759, A001760

permutations, by numbers of consecutive ascending and descending pairs, triangles of: A001100, A086856, A010028

permutations, by numbers of consecutive ascending and descending pairs: A002464, A086852, A086853, A086854, A086855, A001266, A000130, A000349, A001267, A001268

Permutations, by order, A001472, A005388, A001471, A001470, A001189, A001473

Permutations, by rises, A000130, A000239, A001277, A000274, A000544, A001279, A000313, A000349, A001260, A001261, A001266, A001267, A001278, A001268, A001280, A001282

Permutations, by spread, A004206, A004205, A004204

Permutations, by subsequences, A002628, A005802, A002629, A002630, A003316, A001454, A001455, A001456, A001457, A001458

permutations, connected: A003319

Permutations, cycles in, A006694

Permutations, descending subsequences of, A006219, A006220

Permutations, discordant, A002634, A000183, A002633, A000270, A000380, A000388, A000561, A000440, A000562, A000470, A000563, A000476, A000492, A000564, A000500, A000565

permutations, even: A001710*, A003221, A000704

permutations, graceful: A006967

permutations, indecomposable: A003319

Permutations, inequivalent, A003510

Permutations, inversions in, A000140

Permutations, isolated reformed, A007712

Permutations, key, A003274

permutations, largest order of: A000793*, A002809

Permutations, maximal order of, A000793, A002809

Permutations, menage, A002484

permutations, menage: see also menage numbers

Permutations, necklace, A003322

Permutations, odd, A001465

permutations, of n letters: A000142*

permutations, of order 2: A001189*, A001185*

permutations, of order dividing k, for k=2,3,4,5,... (1): A000085, A001470, A001472, A053495, A053496, A053497, A053498, A053499, A053500, A053501

permutations, of order dividing k, for k=2,3,4,5,... (2): A053502, A053503, A053504, A053505, A005388

permutations of the positive (or nonnegative) integers , sequences related to :

permutations of the integers, conjectured, paired with their inverse:

A064389 & A078758 (variant (4) of Recamán's A005132), A064809, A125717 & A245340 (least unused a(n+1)=a(n) (mod n)), A125718 & A249678, A139080 & A257280 (floor(max(a(n+1),a(n))/min(...))=2), ... (This entry needs to be greatly expanded!)

permutations of the integers, each paired with its inverse: (Families of related sequences are displayed in bold.)

A003100-A174025, A003188-A006068, A064706-A064707 (Gray code related), A006368-A006369 (amusical permutation)

A004484-A064206, A004485-A064207, A004486-A064208, A004487-A064211 (Sprague-Grundy values for Wyt Queens)

A029654-A064360, A064413-A064664, A032447-A064275, A035312-A035358, A035506-A064357, A035513-A064274, A047708-A048850

A048672-A246353, A048673-A064216, A048679-A048680 (binary encoding related), A052330-A064358, A059900-A059884

A052331-A064359, A054238-A054239, A054424-A054426, A054427-A054428, A057114-A057115

A054084-A064786, A053212-A064787, A060736-A064788, A054068-A054069, A057028-A064789, A060734-A064790, A064537-A064791

A034175-A064928, A064929-A064930, A057027-A064578, A054082-A064579, A036552-A065037

A065164-A065168, A065165-A065169, A065166-A065170, A065171-A065172, A065174-A065175 (perm. of Z folded to N, site swap pattern)

A065181-A065182, A065183-A065184, A065186-A065187, A065188-A065189 (Greedy Queens), A064736-A064745, A065249-A065250

A065259-A065260, A065263-A065264, A065265-A065266, A065269-A065270, A065271-A065272, A065275-A065276, A065277-A065278

A065281-A065282, A065283-A065284, A065287-A065288, A065289-A065290 (site swap), A065253-A065254

A065306-A065307 (Goldbach), A004515-A065256, A065257-A065258 (Quintal Queens)

A064417-A064956, A064418-A064958, A064419-A064959 (GCD(a(n),a(n-1))>k), A065561-A065578, A065562-A065579

A065627-A065628, A065629-A065630, A065631-A065632, A065633-A065634, A065635-A065636, A065637-A065638, A065639-A065640

A065660-A065661, A065662-A065663, A065664-A065665, A065666-A065667, A065668-A065669, A065670-A065671, A065672-A065673

A065649-A065650, A065934-A065935, A066248-A066249, A066250-A066251, A067587-A066884, A068225-A068226, A072061-A072062

A072732-A072733, A072734-A072735, A072793-A072794, A074305-A074306, A074307-A074308, A051261-A077226, A081344-A194280, A083412, A084469-A084470

A084453-A084454, A084455-A084466, A084459-A084460, A084461-A084462, A084489-A084490, A084491-A084492, A084493-A084494

A084495-A084496, A084497-A084498, A084499-A084530, A092401-A203602, A094608, A098003-A098485, A098488-A226134, A105529-A105530 (Gray code related), A108644, A108918-A118319, A118757-A118758, A134564, A139706-A139708

A147995-A163544, A153141-A153142, A153151-A153152, A154435-A154436, A154447-A154448

A163233-A163234, A163235-A163236, A163237-A163238, A163239-A163240 (Gray codes 2-D)

A163328-A163329, A163330-A163331, A163334-A163335, A163336-A163337, A163338-A163339, A163340-A163341 (Peano curve)

A163355-A163356, A163357-A163358, A163359-A163360, A163361-A163362, A163363-A163364, A163905-A163906, A163907-A163908, A163915-A163916 (Hilbert curve)

A163511-A243071, A166041-A166042, A166043-A166044 (Peano to Hilbert), A175500-A272570, A185180-A209293, A185725, A191450-A254047, A194030-A194031, A194988-A194989, A210770-A210771, A213928, A214226, A217013-A217294, A217296, A219159, A219360, A220516, A220952, A231550-A231551, A244153-A244154, A254103-A254104, A257470-A257271, A268717-A268718, A268823-A268824

A307485-A307613 (positive integers grouped by parity: one odd, two even, four odd, eight even, etc.)

A334619, A334998-A334999, A337822, A337838, A337909, A338840, A338841, A338843, A338844, A338846, A339723, A339853

permutations of the integers, induced by Catalan rerankings, each paired with its inverse:

(1) A071651-A071652, A071653-A071654, A072634-A072635, A072636-A072637, A072656-A072657, A072658-A072659

(2) A072646-A072647, A072787-A072788, A072764-A072765, A072766-A072767, A075161-A075162, A075168-A075169

permutations of the integers, self-inverse: (Families of related sequences are displayed in bold.)

A000027, A001477, A002251, A004442, A004488, A011262, A014681, A018220, A018221, A018222 (Wythoff game related),

A019444, A020703, A026239, A026250, A026255, A026262, A038722, A048647, A054429, A054430,, A056011, A056019,

A056023, A056539, A057163, A057164, A057300, A057508, A059893, A059894, A060125, A061579, A061898, A064429,

A064505, A064614, A065190, A065652, A069766, A069769, A069771, A069772, A069787, A069888, A069889, A071065,

A072026, A072027, A072028, A072029, A072356, A072796, A072797, A072798, A072799, A073280, A073281, A073675,

A073842, A074066, A074067, A074068, A080412, A081241, A083569, A084483, A085240, A086572, A086962, A086963, A086964,

A088337, A094510, A094681, A100527, A100830, A104696, A106649, A108590, A108591, A108592, A108593, A108599 (Beatty related),

A108971, A109233, A109236, A109239, A109250, A109261, A110119, A114538, A114578, A114579, A114882,

A115094, A115182, A115303, A115304, A115305, A115306, A115307, A115308, A115309 (counting up and down by chunks),

A117120, A117303, A118012, A118966, A120229, A120230, A120913, A122111, A122155, A125566, A125979, A125980, A126006, A126007, A126009, A126290,

A126320, A127387, A127388, A128173, A129594, A129608, A130339, A130340, A130373, A130374, A130918, A130981, A130982,

A131173, A132340, A132664, A132665, A132666, A132667, A132668, A132669, A132670, A132671, A132672, A132673, A132674,

A135044, A137662, A137805, A138236, A153150, A154125, A154126, A159253, A159586, A159587, A159588,

A160652, A162750, A162853, A163241, A163327, A163332, A163333, A163807, A164088, A165199, A166166, A166404, A193231, A225546, A227741, A253288, A256008, A258746,

A258996, A307150, A307151, A307266, A307267, A330396, A340258, A340669, A343767, A358971, A359018

permutations of the integers, signature-permutations induced by Catalan automorphisms, sequences related to :

permutations of the integers, signature-permutations of Catalan automorphisms:

A057163, A057164, A057508, A069766, A069769, A069770, A069771, A069772, A069787,

A069888, A069889, A072796, A072797, A073280, A073281, A082313, A082314

A057117-A057118, A057161-A057162, A057501-A057502, A057503-A057504, A057505-A057506, A057509-A057510, A057511-A057512,

A069767-A069768, A069773-A069774, A069775-A069776, A071661-A071662, A071663-A071664, A071665-A071666, A071667-A071668,

A071669-A071670, A071655-A071656, A071657-A071658, A071659-A071660, A072090-A072091, A072092-A072093, A072094-A072095,

A072621-A072622, A072088-A072089, A073269-A073270, A073282-A073283, A073284-A073285, A073286-A073287, A073288-A073289,

A073194-A073195, A073196-A073197, A073198-A073199, A073205-A073206, A073207-A073208, A073209-A073210, A073290-A073291,

A073292-A073293, A073294-A073295, A073296-A073297, A073298-A073299, A074679-A074680, A074681-A074682, A074683-A074684,

A074685-A074686, A074687-A074688, A074689-A074690, A082315-A082316, A082317-A082318, A082319-A082320, A082321-A082322,

A082323-A082324, A082325-A082326, A082331-A082332, A082333-A082334, A082335-A082336, A082337-A082338, A082339-A082340,

A082341-A082342, A082345-A082346, A082347-A082348, A082349-A082350, A082351-A082352, A082353-A082354, A082355-A082356,

A082357-A082358, A082359-A082360

permutations of the integers, related to 3x+1 or Collatz problem: A160016, A307048, A322469

permutations of the integers, tables of: A003987, A018219, A054081, A065167, A073200

permutations of the integers: see also A066252, A066253, A066254, A066255

permutations, permutation arrays:: A005677, A006841

permutations, quasi-alternating: A000708, A001758

Permutations, restricted, A003407, A006595, A003011, A002777, A000382, A007016, A000496

permutations, self-conjugate, number of: A000085

permutations, self-inverse, number of: A000085*

permutations, special: A003109, A003110, A003111

permutations, square: A003483

permutations, symmetric: A000900, A000901, A000902

permutations, unreformed: A007711

permutations, with a square root: A003483

permutations, with fixed points: A008290, A002467*, A000166 (0), A000240 (1), A000387 (2), A000449 (3), A000475 (4), A129135 (5), A129136 (6), A129149 (7), A129153 (8), A129217 (9), A129218 (10), A129238 (11), A129255 (12)

permutations, with no fixed points: A000166*

Permutations, with no hits, A003471, A000316, A000459

Permutations, with strong fixed points, A006932

permutations, zero-entropy: A006948

Perrin sequence: A001608*

persistence , sequences related to :

persistence (additive): A006050*, A031286* and A045646*

persistence (additive, optimal): also AO31286

persistence (multiplicative): A003001* and A031346*

persistence: see also powertrain

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• This is a section of the Index to the OEIS®.
• For further information see the main Index to OEIS page.
• Please read Index: Instructions For Updating Index to OEIS before making changes to this page.
• If you did not find what you were looking for in this Index, you can always search the database for a particular word or phrase.
• Full list of sections:

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