cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-5 of 5 results.

A298135 Number of nX4 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 2, 3, 10, 20, 68, 185, 561, 1600, 4856, 14490, 43334, 130046, 390291, 1172586, 3523139, 10593181, 31854446, 95807649, 288198019, 867005085, 2608469794, 7848188504, 23614061363, 71053102045, 213798191069, 643325960937
Offset: 1

Views

Author

R. H. Hardin, Jan 13 2018

Keywords

Comments

Column 4 of A298139.

Examples

			Some solutions for n=7
..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
..0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0. .0..1..1..0
..0..1..0..1. .1..0..1..0. .1..0..1..0. .1..0..0..1. .1..0..0..1
..0..0..0..1. .1..0..1..0. .1..1..0..0. .1..1..1..0. .1..1..1..0
..0..1..1..0. .0..1..1..0. .1..0..1..0. .0..0..0..1. .1..0..1..0
..1..0..0..1. .1..0..1..0. .1..0..1..0. .0..1..1..0. .1..0..0..1
..1..1..1..1. .1..1..0..0. .1..1..0..0. .1..1..0..0. .1..1..1..1
		

Crossrefs

Cf. A298139.

Formula

Empirical: a(n) = 5*a(n-1) -5*a(n-2) +a(n-3) -19*a(n-4) +15*a(n-5) +77*a(n-7) -84*a(n-8) +104*a(n-9) -175*a(n-10) +237*a(n-11) -444*a(n-12) +166*a(n-13) -252*a(n-14) +783*a(n-15) -239*a(n-16) -923*a(n-17) +47*a(n-18) -1198*a(n-19) +4530*a(n-20) -2018*a(n-21) +8752*a(n-22) -12503*a(n-23) +11509*a(n-24) -11694*a(n-25) +12104*a(n-26) -39091*a(n-27) +11361*a(n-28) +13063*a(n-29) +25473*a(n-30) -18499*a(n-31) -14521*a(n-32) +40263*a(n-33) -2644*a(n-34) -22026*a(n-35) -35689*a(n-36) +31132*a(n-37) +18644*a(n-38) +6559*a(n-39) -15323*a(n-40) -3234*a(n-41) -21417*a(n-42) -5870*a(n-43) +16627*a(n-44) +9301*a(n-45) +860*a(n-46) -5387*a(n-47) +839*a(n-48) +447*a(n-49) +1998*a(n-50) -1505*a(n-51) -218*a(n-52) -195*a(n-53) +391*a(n-54) -74*a(n-55) -24*a(n-56) -48*a(n-57) +28*a(n-58) +8*a(n-59) -4*a(n-60) for n>61

A298136 Number of n X 5 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 11, 0, 20, 88, 242, 627, 2604, 8137, 28727, 101137, 350450, 1221711, 4290711, 14968081, 52427734, 183691236, 643194452, 2252416158, 7891461835, 27639419217, 96818359023, 339160988868, 1188063187221, 4161765906348, 14578893452507
Offset: 1

Views

Author

R. H. Hardin, Jan 13 2018

Keywords

Comments

Column 5 of A298139.

Examples

			Some solutions for n=7
..0..0..1..0..0. .0..0..0..0..0. .0..0..1..0..0. .0..0..1..1..1
..1..0..1..1..0. .0..1..1..1..0. .0..1..0..1..0. .0..1..0..0..1
..1..1..0..0..1. .1..0..0..1..1. .0..1..0..1..0. .0..1..1..1..0
..1..0..1..1..0. .1..0..1..0..1. .1..0..0..1..0. .1..0..0..0..1
..1..0..1..0..0. .1..0..1..0..1. .1..0..0..0..1. .1..0..1..1..1
..1..0..1..0..1. .1..0..1..0..1. .0..1..0..1..0. .0..1..1..0..1
..1..1..0..1..1. .1..1..0..1..1. .0..0..1..0..0. .0..0..0..0..0
		

Crossrefs

Cf. A298139.

A298137 Number of nX6 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 13, 3, 68, 242, 917, 3417, 14533, 58845, 244155, 1024766, 4297121, 17950575, 75199021, 314755111, 1317874937, 5519233903, 23115442566, 96811939884, 405493370013, 1698383143180, 7113695019637, 29796021993208, 124802553668569
Offset: 1

Views

Author

R. H. Hardin, Jan 13 2018

Keywords

Comments

Column 6 of A298139.

Examples

			Some solutions for n=7
..0..0..1..1..0..0. .0..0..0..0..0..1. .0..0..0..1..1..0. .0..1..1..0..1..1
..0..1..0..1..1..0. .0..1..1..0..1..1. .0..0..0..1..0..0. .0..0..1..0..0..1
..1..1..0..1..1..1. .0..1..0..1..0..0. .1..1..1..1..1..0. .0..1..1..1..1..0
..0..1..0..0..0..1. .0..1..0..1..0..1. .1..0..0..0..0..1. .1..0..0..0..0..1
..0..0..0..0..1..0. .0..1..0..0..1..1. .0..1..0..1..1..0. .1..0..1..1..1..0
..1..1..0..1..1..0. .0..1..0..1..0..1. .0..1..0..0..1..0. .0..1..1..0..0..1
..1..0..0..1..0..0. .0..0..1..1..0..0. .0..0..1..1..0..0. .0..0..0..0..1..1
		

Crossrefs

Cf. A298139.

A298138 Number of nX7 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 34, 6, 185, 627, 3417, 14422, 73961, 354200, 1772595, 8807624, 44087860, 218942205, 1093100404, 5447861031, 27173970577, 135547796845, 676389434363, 3374295032672, 16836823878509, 84007635799139, 419167042007303
Offset: 1

Views

Author

R. H. Hardin, Jan 13 2018

Keywords

Comments

Column 7 of A298139.

Examples

			Some solutions for n=7
..0..0..1..0..1..1..1. .0..0..0..1..1..0..0. .0..0..1..0..0..1..1
..0..1..0..1..0..0..1. .1..0..1..1..0..1..0. .0..1..1..1..0..0..1
..0..1..0..1..0..1..0. .1..1..1..1..0..0..1. .1..0..0..0..1..0..1
..0..1..0..1..0..1..0. .1..0..0..1..1..1..1. .0..1..1..0..1..0..1
..0..1..0..1..0..1..0. .1..0..1..0..1..1..0. .0..0..1..0..1..0..1
..0..1..1..0..1..0..1. .0..1..1..0..1..0..0. .1..0..1..0..1..0..1
..0..0..0..0..0..1..1. .0..0..0..1..1..1..0. .1..1..0..1..0..1..1
		

Crossrefs

Cf. A298139.

A298134 Number of n X n 0..1 arrays with every element equal to 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 0, 10, 88, 917, 14422, 467043, 17828062, 1081228309
Offset: 1

Views

Author

R. H. Hardin, Jan 13 2018

Keywords

Comments

Diagonal of A298139.

Examples

			Some solutions for n=7
..0..0..1..1..1..0..0. .0..0..0..0..0..0..0. .0..0..1..0..0..0..1
..0..1..0..1..0..0..1. .0..1..1..1..1..1..0. .0..1..1..1..0..1..1
..1..0..0..1..1..1..1. .1..0..0..0..0..0..1. .0..1..0..1..0..0..1
..1..1..1..0..0..0..0. .0..1..1..1..1..0..1. .0..1..0..0..1..1..0
..1..0..1..0..1..1..0. .1..0..0..0..0..1..1. .0..1..0..1..0..0..0
..0..0..1..0..1..0..1. .0..1..1..1..1..1..0. .0..1..0..1..0..1..0
..0..1..1..0..0..1..1. .0..0..0..0..0..0..0. .0..0..1..0..1..1..1
		

Crossrefs

Cf. A298139.
Showing 1-5 of 5 results.