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Search: a252882 -id:a252882
Displaying 1-10 of 10 results found. page 1
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A252877 Number of (n+2)X(1+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
510, 3102, 18931, 116455, 717426, 4422437, 27268086, 168141437, 1036853114, 6393927528, 39429835481, 243155950132, 1499502119578, 9247200652700, 57026177743891, 351672685653992, 2168719051076815, 13374208876564791 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 11*a(n-1) -18*a(n-2) -145*a(n-3) +408*a(n-4) +563*a(n-5) -1841*a(n-6) -2330*a(n-7) +5591*a(n-8) +6265*a(n-9) -15079*a(n-10) -8443*a(n-11) +36439*a(n-12) +25483*a(n-13) -82685*a(n-14) -72792*a(n-15) +101442*a(n-16) +103253*a(n-17) -53685*a(n-18) -87588*a(n-19) +86244*a(n-20) +30056*a(n-21) -129500*a(n-22) -33020*a(n-23) +27681*a(n-24) +108437*a(n-25) +70424*a(n-26) +4296*a(n-27) -177103*a(n-28) -89262*a(n-29) +215400*a(n-30) +78361*a(n-31) -192514*a(n-32) -61489*a(n-33) +144053*a(n-34) +45457*a(n-35) -75460*a(n-36) -38134*a(n-37) +33292*a(n-38) +17209*a(n-39) -10708*a(n-40) -4570*a(n-41) +2823*a(n-42) +740*a(n-43) -590*a(n-44) -40*a(n-45) +66*a(n-46) -2*a(n-47) -3*a(n-48)
EXAMPLE
Some solutions for n=4
..0..1..1....0..0..1....0..1..0....0..0..1....0..1..0....0..1..2....0..1..1
..1..0..0....1..0..1....1..2..0....2..2..1....2..1..1....0..0..2....2..1..2
..1..0..1....0..1..2....0..1..2....2..2..0....0..1..0....2..0..1....0..0..1
..1..0..1....0..1..2....1..1..0....2..0..0....0..0..1....0..1..1....0..0..2
..0..0..1....2..0..1....1..1..0....1..0..2....1..0..1....2..1..1....1..2..2
..1..2..0....0..1..2....0..2..2....2..0..2....0..0..2....0..0..1....1..0..2
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252878 Number of (n+2)X(2+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
3847, 25227, 175360, 1284278, 9590968, 71744739, 538250710, 4042792083, 30378440984, 228336299434, 1716547733894, 12905265671485, 97027793141860, 729515470475319, 5485019076491089, 41240570566543200, 310079418285221777 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 2 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
EXAMPLE
Some solutions for n=3
..0..0..1..2....0..0..1..1....0..0..1..2....0..1..2..2....0..0..1..1
..0..1..1..0....1..0..2..1....2..1..0..2....2..0..1..2....0..1..0..0
..2..1..1..0....0..2..1..0....0..0..1..2....2..1..2..2....2..1..0..1
..2..1..1..2....1..0..2..1....2..1..0..2....2..0..1..2....0..2..1..1
..0..0..1..0....1..0..1..0....0..0..1..1....2..1..2..0....2..2..1..2
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252879 Number of (n+2)X(3+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
28474, 206314, 1769486, 16537346, 160464987, 1568328517, 15405629778, 151688062643, 1495069902511, 14743726913679, 145437557024706, 1434820721218962, 14156257991743031, 139673301663902899 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..108
EXAMPLE
Some solutions for n=1
..0..1..0..1..1....0..1..2..1..0....0..0..1..2..1....0..0..1..0..2
..0..1..1..0..1....0..2..2..1..2....0..1..2..2..1....1..0..2..0..2
..0..2..1..0..1....1..1..0..1..2....0..1..1..2..1....1..2..2..0..0
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252880 Number of (n+2)X(4+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
211881, 1723377, 18443090, 225544537, 2937661429, 38915852537, 519647556034, 6964313043452, 93477448145117, 1255833489013735, 16880013708871116, 226940053379538005, 3051416477193106356, 41031467134019707877 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..36
EXAMPLE
Some solutions for n=1
..0..0..1..2..1..1....0..0..1..2..1..0....0..0..1..1..2..1....0..1..1..0..0..2
..2..1..2..2..1..2....0..1..1..2..2..0....1..0..2..1..2..2....0..1..0..2..2..0
..2..1..1..2..1..1....0..1..1..0..2..1....0..1..2..2..0..1....2..1..0..0..2..2
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252883 Number of (1+2)X(n+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
510, 3847, 28474, 211881, 1575377, 11720268, 87198323, 648799167, 4827612777, 35921934387, 267296715834, 1988972427035, 14800140113352, 110129393771043, 819485370061916, 6097885580453108, 45375088417906622, 337641430554410917 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 1 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 8*a(n-1) +20*a(n-2) -185*a(n-3) -122*a(n-4) +1143*a(n-5) +648*a(n-6) -1146*a(n-7) -3579*a(n-8) -11329*a(n-9) +5610*a(n-10) +46499*a(n-11) +12723*a(n-12) -51010*a(n-13) -23963*a(n-14) -86046*a(n-15) -67672*a(n-16) +201912*a(n-17) +206293*a(n-18) +29694*a(n-19) -172585*a(n-20) -239780*a(n-21) -25780*a(n-22) +111228*a(n-23) +97884*a(n-24) -1768*a(n-25) -49360*a(n-26) -9504*a(n-27) +2048*a(n-28) -256*a(n-29)
EXAMPLE
Some solutions for n=3
..0..1..2..1..1....0..0..1..2..1....0..1..0..0..1....0..1..0..2..2
..1..2..2..1..1....1..0..0..2..1....2..1..0..0..2....2..1..0..2..2
..0..1..2..1..2....1..0..1..1..2....0..2..1..1..2....0..2..1..1..0
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252884 Number of (2+2)X(n+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
3102, 25227, 206314, 1723377, 14424475, 120914908, 1013935410, 8505529697, 71356949001, 598708221110, 5023496674281, 42151375927194, 353688236912557, 2967792166328957, 24902779030429194, 208960087817293157 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 2 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
EXAMPLE
Some solutions for n=2
..0..1..2..0....0..0..1..1....0..1..0..1....0..1..1..0....0..1..2..1
..2..0..2..1....2..1..0..2....1..0..2..2....0..1..1..2....1..2..0..1
..2..0..2..1....2..1..1..2....1..1..2..2....2..1..0..2....0..1..0..1
..0..2..2..0....1..2..1..0....2..0..2..2....2..0..0..1....1..1..2..0
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252885 Number of (3+2)X(n+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
18931, 175360, 1769486, 18443090, 194162037, 2048947027, 21664764833, 229288736507, 2428049723198, 25721944590553, 272531782389953, 2887876599290471, 30603380003328253, 324319086764842024 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 3 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
EXAMPLE
Some solutions for n=2
..0..0..1..0....0..0..1..1....0..1..1..0....0..1..0..0....0..1..0..0
..1..0..1..0....0..1..0..1....0..1..1..0....0..1..1..2....1..0..0..1
..0..0..2..0....0..0..1..1....0..1..0..2....0..1..0..0....1..1..2..1
..1..2..1..0....2..0..1..0....2..2..1..0....2..2..1..0....1..1..2..2
..0..0..2..1....0..0..1..1....0..1..0..2....2..1..0..0....1..2..0..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252886 Number of (4+2)X(n+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
1
116455, 1284278, 16537346, 225544537, 3149891207, 44167941250, 621648578727, 8763434911242, 123590318373434, 1744386975870153, 24622988271070758, 347580473915148104, 4907368094866220731, 69285051181963251292 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 4 of A252882
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..45
EXAMPLE
Some solutions for n=1
..0..1..0....0..0..1....0..1..0....0..1..0....0..1..0....0..1..0....0..1..0
..0..2..2....1..1..2....0..0..1....1..2..2....0..2..2....2..0..1....2..1..0
..0..2..0....0..0..1....2..0..1....0..2..2....0..1..2....2..0..1....0..2..0
..0..2..2....0..1..1....0..2..1....1..2..2....2..1..1....1..0..2....0..1..0
..0..2..2....0..1..1....2..0..1....1..2..2....2..1..1....1..0..2....0..1..0
..1..0..0....0..2..1....0..2..1....0..0..1....0..1..2....2..2..1....1..2..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252887 Number of (5+2) X (n+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order. +10
1
717426, 9590968, 160464987, 2937661429, 55869292808, 1063774566780, 20361858579086, 390655281525121, 7491014851778687, 143863188831952554, 2762695897224511101, 53040833335697274698, 1018801052975092493137 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Row 5 of A252882.
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..16
EXAMPLE
Some solutions for n=1
..0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1....0..0..1
..0..0..1....0..1..1....0..1..0....0..1..1....0..2..2....0..2..2....0..0..1
..0..0..2....0..1..1....0..1..0....0..1..1....1..2..2....1..2..2....0..0..1
..0..0..2....2..2..1....0..2..0....2..1..0....0..2..0....0..2..2....0..1..1
..2..1..2....2..2..0....0..1..0....0..2..0....1..0..2....0..2..2....0..0..1
..2..0..0....2..2..0....0..2..0....0..1..1....1..2..2....0..2..2....0..0..1
..0..1..0....2..1..0....2..1..2....1..2..0....1..2..1....1..1..0....0..2..1
CROSSREFS
Cf. A252882.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
A252881 Number of (n+2)X(5+2) 0..2 arrays with every consecutive three elements in every row having 2 or 3 distinct values, in every column 1 or 2 distinct values, in every diagonal 2 distinct values, and in every antidiagonal 2 distinct values, and new values 0 upwards introduced in row major order +10
0
1575377, 14424475, 194162037, 3149891207, 55869292808, 1012679185415, 18545078593815, 341129594109617, 6284858844962008, 115915003810017493, 2139108920633332442 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 5 of A252882
LINKS
Table of n, a(n) for n=1..11.
EXAMPLE
Some solutions for n=1
..0..0..1..2..2..0..0....0..1..2..1..0..0..1....0..0..1..2..0..0..2
..0..0..1..1..0..1..0....0..0..2..0..0..1..0....0..0..1..2..2..0..1
..0..2..2..1..0..0..2....0..1..2..1..2..0..1....0..2..2..0..2..1..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved
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Last modified August 31 19:25 EDT 2024. Contains 375573 sequences. (Running on oeis4.)