A300646 -id:A300646 - cp's OEIS frontend

A300641 Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

0, 2, 2, 10, 30, 104, 340, 1144, 3795, 12683, 42227, 140876, 469517, 1565586, 5219130, 17400850, 58012053, 193409644, 644810491, 2149754855, 7167115016, 23894640479, 79662932803, 265590322328, 885458314722, 2952052210282, 9841922224851

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Column 3 of A300646.

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

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

Cf. A300646.

Empirical: a(n) = 2*a(n-1) +4*a(n-2) -a(n-3) +7*a(n-4) +6*a(n-5) -2*a(n-6) -7*a(n-7) -11*a(n-8) -12*a(n-9) -8*a(n-10) -9*a(n-11) -3*a(n-12) -2*a(n-14) +a(n-15)

A300642 Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 4, 10, 64, 316, 1789, 9738, 54293, 300456, 1669005, 9263141, 51430163, 285537725, 1585321263, 8801860535, 48868792430, 271324801628, 1506424664770, 8363834463324, 46436926280661, 257822913340328, 1431461142742217

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Column 4 of A300646.

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

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

Cf. A300646.

Empirical: a(n) = 4*a(n-1) +14*a(n-2) -17*a(n-3) -61*a(n-4) -49*a(n-5) -105*a(n-6) +151*a(n-7) +775*a(n-8) -58*a(n-9) -91*a(n-10) +1887*a(n-11) +512*a(n-12) +3274*a(n-13) +4088*a(n-14) -20637*a(n-15) -27360*a(n-16) -8376*a(n-17) -17162*a(n-18) +51171*a(n-19) +48004*a(n-20) +30560*a(n-21) +10871*a(n-22) -11625*a(n-23) -52251*a(n-24) -27283*a(n-25) -19433*a(n-26) -23710*a(n-27) +5592*a(n-28) +7218*a(n-29) -6323*a(n-30) +15212*a(n-31) +2942*a(n-32) -88*a(n-33) +4031*a(n-34) -1521*a(n-35) +534*a(n-36) -205*a(n-37) -151*a(n-38) +48*a(n-39) -135*a(n-40) +10*a(n-41) -47*a(n-42) +44*a(n-43) -13*a(n-44) -8*a(n-45) +12*a(n-46) -3*a(n-47) -2*a(n-48) +a(n-49)

A300643 Number of nX5 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 9, 30, 316, 2998, 28089, 268615, 2552014, 24338903, 231985285, 2211326264, 21081277233, 200957956858, 1915723519711, 18262175095417, 174090604742721, 1659575837493437, 15820464143773812, 150813856777262673

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Column 5 of A300646.

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

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

Cf. A300646.

A300644 Number of nX6 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 19, 104, 1789, 28089, 456649, 7455411, 121708555, 1990954802, 32547397369, 532327808168, 8705226732028, 142365129531729, 2328217142648763, 38075317550124085, 622678903591246459, 10183203860874999028

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Column 6 of A300646.

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

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

Cf. A300646.

A300645 Number of nX7 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 41, 340, 9738, 268615, 7455411, 209156119, 5850560104, 164070075524, 4598093771759, 128918622840447, 3614049889811873, 101322289968443168, 2840562813679842551, 79635815085572716192, 2232600346263905624578

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Column 7 of A300646.

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

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

Cf. A300646.

A300640 Number of n X n 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 2, 64, 2998, 456649, 209156119, 280782187131, 1114340919987573, 12994612967873847001, 446094799302794492462850

Offset: 1

R. H. Hardin, Mar 10 2018

nonn

Diagonal of A300646.

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

Cf. A300646.

cp's OEIS Frontend

A300641 Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300642 Number of nX4 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300643 Number of nX5 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300644 Number of nX6 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300645 Number of nX7 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300640 Number of n X n 0..1 arrays with every element equal to 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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