[go: up one dir, main page]
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
Search: a252228 -id:a252228
Displaying 1-8 of 8 results found. page 1
     Sort: relevance | references | number | modified | created      Format: long | short | data
A252220 Number of (n+2)X(n+2) 0..2 arrays with every 3X3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4 +10
1
228, 1028, 9566, 58334, 412514, 4329476, 44099648, 415405634, 3886445124, 36834748542, 350195757374, 3322757907650, 31500492289092, 298706072056064, 2833049748399426, 26869277927218244, 254824501845465374 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Diagonal of A252228
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..34
EXAMPLE
Some solutions for n=4
..1..1..0..2..0..2....1..1..0..2..0..1....1..1..0..2..0..2....1..1..1..1..1..1
..1..0..2..0..2..1....1..0..2..0..2..0....2..0..2..0..2..0....1..0..2..0..2..0
..0..2..0..2..0..1....0..2..0..2..0..2....0..2..0..2..0..1....0..2..0..2..0..2
..1..0..2..0..2..1....2..0..2..0..2..0....2..0..2..0..2..1....1..0..2..0..2..1
..1..2..0..2..0..2....0..2..0..2..0..1....1..2..0..2..0..2....1..2..0..2..0..1
..1..1..2..0..1..1....1..1..1..0..2..1....1..0..2..0..1..1....2..0..2..0..2..1
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252221 Number of (n+2) X (1+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
228, 368, 812, 1442, 2458, 4738, 9922, 20070, 38774, 75106, 148914, 296946, 586790, 1153474, 2273494, 4495766, 8887778, 17542298, 34612226, 68336662, 134968250, 266516414, 526161790, 1038785394, 2051072242, 4049909170, 7996310710 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 2*a(n-1) - a(n-2) + a(n-3) + 3*a(n-4) - 2*a(n-5) - 2*a(n-7) for n>10.
Empirical g.f.: 2*x*(114 - 44*x + 152*x^2 - 21*x^3 - 333*x^4 - 98*x^5 - 119*x^6 + 130*x^7 + 32*x^8 + 16*x^9) / ((1 - x)*(1 - x - x^3 - 4*x^4 - 2*x^5 - 2*x^6)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=4:
..1..1..1....1..0..2....0..1..1....0..1..1....1..2..1....1..0..2....1..0..1
..0..2..1....1..2..0....2..0..2....2..0..1....0..2..1....1..2..0....2..0..1
..2..0..2....1..0..2....0..2..0....0..2..1....2..0..2....2..0..2....0..2..0
..0..2..0....1..2..0....2..0..2....2..0..2....0..2..0....0..2..0....2..0..1
..1..0..1....1..0..2....1..2..1....0..2..0....1..0..1....2..0..1....0..2..1
..1..0..1....1..2..0....1..1..1....1..1..1....1..1..1....0..1..1....2..0..1
CROSSREFS
Column 1 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252222 Number of (n+2) X (2+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
368, 1028, 3066, 7724, 22256, 70284, 219824, 675264, 2072804, 6383492, 19670396, 60581792, 186548780, 574478144, 1769185920, 5448417444, 16778894996, 51672129164, 159129275664, 490053971084, 1509168106704, 4647627251072 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>9.
Empirical g.f.: 2*x*(184 - 38*x + 175*x^2 - 775*x^3 - 1019*x^4 - 337*x^5 + 127*x^6 + 115*x^7 + 3*x^8) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=4:
..1..2..0..1....1..1..0..2....1..1..2..1....1..0..1..1....2..0..1..1
..1..0..2..0....2..0..2..0....0..2..0..1....1..2..0..1....0..2..0..2
..0..2..0..2....0..2..0..2....2..0..2..0....2..0..2..0....2..0..2..0
..2..0..2..0....1..0..2..0....1..2..0..1....0..2..0..2....0..2..0..2
..0..2..0..2....1..2..0..1....1..0..2..1....2..0..2..0....1..0..2..1
..1..1..2..1....1..0..2..1....1..2..0..1....1..1..1..1....1..1..1..1
CROSSREFS
Column 2 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252223 Number of (n+2) X (3+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
812, 3066, 9566, 24932, 73826, 231254, 718514, 2208224, 6786900, 20903022, 64397300, 198324482, 610719174, 1880738882, 5791972896, 17837010452, 54930710846, 169164213764, 520957422434, 1604338505654, 4940713885010 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
Empirical g.f.: 2*x*(406 + 315*x + 590*x^2 - 1568*x^3 - 1519*x^4 - 1188*x^5 - 519*x^6 + 147*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=4:
..2..0..2..0..1....2..0..2..1..1....1..0..2..0..1....1..2..1..1..1
..0..2..0..2..0....0..2..0..2..0....1..2..0..2..1....1..0..2..0..1
..2..0..2..0..1....2..0..2..0..1....2..0..2..0..1....0..2..0..2..0
..0..2..0..2..1....0..2..0..2..1....0..2..0..2..0....1..0..2..0..2
..2..0..2..0..1....2..0..2..0..2....2..0..2..0..2....1..2..0..2..1
..1..2..0..1..1....1..2..0..1..1....1..1..1..2..1....2..0..2..1..1
CROSSREFS
Column 3 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252224 Number of (n+2) X (4+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
1442, 7724, 24932, 58334, 160688, 512822, 1619714, 4972874, 15236172, 46914228, 144610766, 445412672, 1371485862, 4223410850, 13006666602, 40055759564, 123355278788, 379883410622, 1169887334864, 3602781631574, 11095111201922 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
Empirical g.f.: 2*x*(721 + 1699*x + 1601*x^2 - 6532*x^3 - 8440*x^4 - 3717*x^5 + 652*x^6 + 1072*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=4:
..1..1..2..1..1..0....1..0..1..1..1..1....1..1..1..0..2..1....1..1..0..2..0..2
..0..2..0..2..0..2....1..2..0..2..0..2....1..2..0..2..0..2....2..0..2..0..2..1
..2..0..2..0..2..0....2..0..2..0..2..0....2..0..2..0..2..1....0..2..0..2..0..1
..0..2..0..2..0..2....0..2..0..2..0..2....0..2..0..2..0..1....2..0..2..0..2..1
..2..0..2..0..2..0....2..0..2..0..2..0....2..0..2..0..2..1....0..2..0..2..0..2
..0..2..1..1..1..1....1..2..1..1..0..2....1..2..0..2..1..1....1..1..1..0..2..0
CROSSREFS
Column 4 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252225 Number of (n+2) X (5+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
2458, 22256, 73826, 160688, 412514, 1339010, 4297634, 13186856, 40282992, 123998850, 382415504, 1178020562, 3627007218, 11168774306, 34396342056, 105928920848, 326217328994, 1004613387440, 3093802840514, 9527668767266 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
Empirical g.f.: 2*x*(1229 + 7441*x + 4758*x^2 - 22954*x^3 - 34933*x^4 - 11816*x^5 + 7145*x^6 + 4720*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=4:
..0..2..0..2..0..1..1....1..1..2..1..1..0..2....1..0..2..0..2..0..2
..2..0..2..0..2..0..1....0..2..0..2..0..2..0....1..2..0..2..0..2..0
..0..2..0..2..0..2..1....2..0..2..0..2..0..2....1..0..2..0..2..0..1
..2..0..2..0..2..0..2....0..2..0..2..0..2..0....1..2..0..2..0..2..1
..0..2..0..2..0..2..0....2..0..2..0..2..0..2....1..0..2..0..2..0..2
..1..1..1..0..1..1..1....0..2..0..1..1..1..1....0..2..0..2..0..2..0
CROSSREFS
Column 5 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252226 Number of (n+2) X (6+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
4738, 70284, 231254, 512822, 1339010, 4329476, 13842872, 42480650, 129860460, 399765942, 1232739446, 3797303378, 11691726372, 36003050792, 110877928074, 341465317292, 1051572312470, 3238405526966, 9972979227362, 30712764065540 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
Empirical g.f.: 2*x*(2369 + 28035*x + 12570*x^2 - 62435*x^3 - 96634*x^4 - 37304*x^5 + 18124*x^6 + 13776*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=2:
..2..1..1..1..1..1..1..1....2..0..2..1..1..0..2..1....1..1..1..0..2..1..1..1
..0..2..0..2..0..2..0..2....1..2..0..2..0..2..0..2....0..2..0..2..0..2..0..2
..2..0..2..0..2..0..2..0....1..0..2..0..2..0..2..0....2..0..2..0..2..0..2..0
..1..1..1..1..0..1..1..1....1..2..0..1..1..1..0..2....0..1..1..2..0..1..1..2
CROSSREFS
Column 6 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
A252227 Number of (n+2) X (7+2) 0..2 arrays with every 3 X 3 subblock row and column sum 2 3 or 4 and every diagonal and antidiagonal sum not 2 3 or 4. +10
1
9922, 219824, 718514, 1619714, 4297634, 13842872, 44099648, 135348914, 414030384, 1274652450, 3930132146, 12105939362, 37274285880, 114781892768, 353490924114, 1088626770704, 3352521852434, 10324377012002, 31794906089378 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
R. H. Hardin, Table of n, a(n) for n = 1..210
FORMULA
Empirical: a(n) = 3*a(n-1) - a(n-2) + 3*a(n-3) + 3*a(n-4) - a(n-5) - a(n-6) for n>8.
Empirical g.f.: 2*x*(4961 + 95029*x + 34482*x^2 - 172885*x^3 - 266116*x^4 - 117704*x^5 + 41864*x^6 + 39568*x^7) / ((1 - x + 2*x^2 - x^3)*(1 - 2*x - 3*x^2 - x^3)). - Colin Barker, Dec 02 2018
EXAMPLE
Some solutions for n=1:
..1..0..2..0..1..1..2..0..1....1..0..2..0..2..0..1..1..1
..0..2..0..2..0..2..0..2..2....0..2..0..2..0..2..0..2..1
..2..0..2..0..1..1..2..0..1....1..1..2..0..2..0..2..0..2
CROSSREFS
Column 7 of A252228.
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 15 2014
STATUS
approved
page 1

Search completed in 0.008 seconds

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 30 00:57 EDT 2024. Contains 375520 sequences. (Running on oeis4.)