A303254 -id:A303254 - cp's OEIS frontend

A303249 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 14, 49, 250, 1183, 5918, 28680, 141255, 691968, 3391358, 16627204, 81517689, 399591042, 1958997017, 9603668921, 47080079771, 230803211309, 1131476255863, 5546875012244, 27192677194545, 133307748424215, 653519804327678

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Column 3 of A303254.

			Some solutions for n=5
..0..1..1. .0..0..0. .0..1..1. .0..1..0. .0..0..1. .0..0..1. .0..0..1
..1..0..1. .1..1..0. .1..0..1. .1..0..1. .0..1..1. .1..1..1. .0..1..0
..1..1..1. .0..1..1. .0..1..0. .1..1..1. .0..1..1. .0..0..0. .1..0..1
..0..0..1. .1..0..0. .1..0..0. .1..1..1. .0..0..1. .1..1..0. .1..1..0
..1..1..0. .0..1..1. .1..1..1. .1..0..0. .1..1..0. .1..0..1. .1..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

Empirical: a(n) = 4*a(n-1) +6*a(n-2) +7*a(n-3) -61*a(n-4) -78*a(n-5) +115*a(n-6) +26*a(n-7) -126*a(n-8) -300*a(n-9) +380*a(n-10) -80*a(n-11) +144*a(n-12) -32*a(n-13) +128*a(n-14)

A303250 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 45, 203, 1401, 8664, 55624, 349273, 2229806, 14141138, 89782352, 570414504, 3623364042, 23013173083, 146192778743, 928659809148, 5899066377892, 37473134952091, 238043423305307, 1512137758273339, 9605680030690948

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Column 4 of A303254.

			Some solutions for n=5
..0..1..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..0
..1..0..1..1. .1..0..1..0. .1..1..1..0. .1..1..1..0. .1..1..0..0
..1..1..0..0. .1..1..0..1. .1..0..0..0. .0..0..1..1. .1..0..0..0
..0..0..0..1. .0..1..0..1. .1..0..0..0. .0..1..1..0. .0..1..1..1
..1..1..1..0. .0..0..1..1. .1..1..0..0. .1..0..0..1. .1..0..0..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

Empirical: a(n) = 7*a(n-1) +7*a(n-2) -27*a(n-3) -321*a(n-4) -213*a(n-5) +2807*a(n-6) +3899*a(n-7) -8015*a(n-8) -27255*a(n-9) +12353*a(n-10) +71558*a(n-11) +3162*a(n-12) -120371*a(n-13) +8354*a(n-14) +167215*a(n-15) -138930*a(n-16) -372344*a(n-17) +512518*a(n-18) +604644*a(n-19) -441639*a(n-20) -211921*a(n-21) -765287*a(n-22) +90464*a(n-23) +299277*a(n-24) +209820*a(n-25) +1367674*a(n-26) -1121671*a(n-27) -267827*a(n-28) -130972*a(n-29) -223517*a(n-30) +827606*a(n-31) -782370*a(n-32) -82371*a(n-33) +124045*a(n-34) +68912*a(n-35) +98182*a(n-36) -75028*a(n-37) +2868*a(n-38) +4232*a(n-39) +5296*a(n-40) -864*a(n-41) -1488*a(n-42) +576*a(n-43) for n>44

A303251 Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 146, 955, 10264, 106803, 1105676, 11394429, 118856245, 1230109648, 12757693309, 132384613354, 1372891293534, 14239793474152, 147709542193598, 1532064286940632, 15891180965080859, 164830841395830095

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Column 5 of A303254.

			Some solutions for n=5
..0..1..0..0..0. .0..0..0..1..0. .0..0..1..0..1. .0..0..0..0..1
..1..0..1..1..1. .1..1..1..0..1. .0..0..0..1..0. .0..0..1..1..1
..1..1..1..0..0. .1..1..0..0..1. .0..1..0..1..1. .1..0..1..1..1
..0..0..1..0..1. .1..0..1..1..1. .1..1..0..1..1. .1..1..0..0..1
..0..0..1..1..0. .0..0..0..0..0. .1..0..0..0..1. .1..0..1..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303252 Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 537, 4556, 78679, 1218385, 19457754, 306224454, 4895684572, 77683246701, 1234426654421, 19631272724800, 312041675243059, 4960178416591981, 78856852121294934, 1253577822147874492, 19928141716104516026

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Column 6 of A303254.

			Some solutions for n=5
..0..1..1..0..1..0. .0..0..0..0..0..1. .0..0..0..0..1..1. .0..0..1..0..0..0
..0..0..1..0..0..1. .0..0..1..1..1..0. .0..1..1..0..1..0. .0..0..0..1..1..1
..0..0..1..0..0..0. .0..1..0..0..0..1. .0..1..0..1..0..1. .0..0..0..0..1..1
..0..1..1..0..1..0. .1..0..1..1..1..0. .0..0..0..0..1..1. .0..1..1..1..0..1
..0..0..0..1..1..1. .0..1..1..0..0..1. .0..1..1..1..1..1. .0..0..1..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303253 Number of nX7 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 1934, 21843, 584333, 13529019, 322544617, 7600681910, 181926316054, 4319287740641, 102749087683745, 2445959829763007, 58194271138697372, 1384700107834934771, 32952218084019479209, 784117840394793531854

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Column 7 of A303254.

			Some solutions for n=5
..0..1..1..0..1..1..1. .0..1..1..0..0..1..1. .0..0..1..1..1..1..1
..0..0..0..0..1..0..0. .0..0..0..1..1..0..1. .0..1..0..1..0..0..1
..0..0..0..0..0..0..0. .0..1..0..0..0..0..1. .0..0..0..0..0..1..0
..0..0..1..1..1..0..1. .0..0..1..1..1..1..0. .0..0..1..1..0..1..1
..0..0..0..0..1..1..0. .0..0..0..0..0..0..1. .0..0..0..0..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303256 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 111, 1183, 8664, 106803, 1218385, 13529019, 153269484, 1719616546, 19364602930, 218131990331, 2454766315292, 27636145270965, 311127611619222, 3502509703999865, 39430191355003478, 443891694271539222

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Row 5 of A303254.

			Some solutions for n=5
..0..0..1..0..1. .0..1..1..1..0. .0..0..0..0..0. .0..0..1..1..0
..0..1..1..1..0. .0..0..0..0..1. .0..1..1..0..1. .0..1..1..0..0
..0..0..0..0..0. .1..1..1..0..1. .1..0..1..1..0. .0..1..0..0..1
..1..0..1..1..1. .0..0..0..1..1. .0..0..0..1..0. .0..0..1..1..0
..0..1..1..0..0. .0..0..1..1..1. .1..1..0..0..1. .0..1..0..0..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303257 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 361, 5918, 55624, 1105676, 19457754, 322544617, 5622650429, 96079232228, 1646124445916, 28299650557400, 485285360460841, 8326738600567856, 142906680823826208, 2452047535254667099, 42076285291701652140

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Row 6 of A303254.

			Some solutions for n=5
..0..0..0..1..1. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..1..1
..1..0..0..1..1. .1..0..0..1..1. .0..0..1..1..0. .1..0..1..0..0
..0..1..0..1..0. .0..1..0..1..1. .0..0..0..1..1. .1..1..1..1..0
..0..1..0..0..0. .1..0..1..1..0. .0..0..0..1..1. .1..1..1..0..0
..0..0..1..0..0. .1..0..1..0..0. .0..0..0..1..1. .0..0..1..0..1
..0..1..0..1..0. .1..1..0..1..1. .1..1..0..1..1. .1..1..1..1..0

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303258 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1172, 28680, 349273, 11394429, 306224454, 7600681910, 204093228252, 5314350209386, 138643667659572, 3640560048826152, 95207607193735652, 2491557031345822081, 65239890207048823769, 1707524253811111768156

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Row 7 of A303254.

			Some solutions for n=5
..0..0..0..0..0. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..1..0
..0..0..1..1..0. .0..0..1..0..1. .0..0..1..0..1. .0..0..1..0..0
..1..0..1..0..1. .1..0..1..0..1. .1..0..1..1..1. .0..1..0..0..0
..0..1..1..1..0. .0..1..1..1..0. .1..1..1..0..1. .1..1..0..1..0
..0..1..0..0..0. .0..0..0..1..0. .1..0..0..0..0. .1..0..1..0..1
..0..0..0..1..0. .0..1..0..0..1. .1..1..0..1..1. .1..1..1..0..0
..1..1..0..1..1. .1..1..0..1..0. .0..0..0..1..1. .1..0..0..1..1

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A303254.

A303248 Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 49, 1401, 106803, 19457754, 7600681910, 7516309079483, 16637614325062889

Offset: 1

R. H. Hardin, Apr 20 2018

nonn

Diagonal of A303254.

			Some solutions for n=5
..0..0..1..1..0. .0..0..0..0..1. .0..1..1..1..0. .0..0..0..0..1
..0..0..1..0..1. .1..1..0..1..1. .1..0..0..0..1. .1..1..1..1..1
..1..0..0..1..1. .1..0..0..1..1. .1..0..1..1..0. .1..0..0..0..0
..1..1..0..1..0. .1..0..0..0..0. .0..1..0..1..1. .0..1..1..1..0
..0..0..1..0..0. .1..1..1..1..1. .1..0..0..1..1. .0..0..0..0..1

Cf. A303254.

cp's OEIS Frontend

A303249 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303250 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303251 Number of nX5 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303252 Number of nX6 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303253 Number of nX7 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303256 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303257 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303258 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303248 Number of n X n 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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