A303410 -id:A303410 - cp's OEIS frontend

A303406 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 7, 28, 119, 541, 2327, 10384, 47491, 208616, 938105, 4229023, 18855226, 84609455, 379973132, 1700940358, 7627893865, 34215621269, 153337948168, 687522535009, 3082887354405, 13820286385598, 61963243406462, 277818915171978

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Column 3 of A303410.

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

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

Cf. A303410.

Empirical: a(n) = 2*a(n-1) +7*a(n-2) +35*a(n-3) -36*a(n-4) -151*a(n-5) -97*a(n-6) +34*a(n-7) +258*a(n-8) -724*a(n-9) +256*a(n-10) +1584*a(n-11) -240*a(n-12) -512*a(n-13) -304*a(n-14) +1728*a(n-15) -1344*a(n-16) -1792*a(n-17) +1024*a(n-18)

A303407 Number of nX5 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 27, 100, 547, 4013, 21361, 115770, 803911, 4667376, 27684643, 182192785, 1120872960, 6916763577, 44766799474, 282088259954, 1776639929407, 11435967743483, 72802740854480, 463125006110247, 2975736132751591

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Column 5 of A303410.

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

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

Cf. A303410.

A303408 Number of nX6 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 45, 290, 2079, 29411, 236326, 2158662, 27002794, 250400003, 2506366395, 27764556264, 275534182736, 2826711225139, 29909224594535, 304574137026271, 3144849018260079, 32756776290370113, 336779681669267253

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Column 6 of A303410.

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

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

Cf. A303410.

A303409 Number of nX7 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 98, 730, 6322, 160247, 1716995, 24386918, 497878411, 6748940959, 106242067376, 1858501096856, 28169515094303, 452053058478307, 7483434704337764, 118104298097496073, 1903568189475537422, 30951192368001440803

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Column 7 of A303410.

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

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

Cf. A303410.

A303411 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 23, 119, 168, 547, 2079, 6322, 17903, 53665, 177334, 555813, 1667489, 5141358, 16219859, 50536643, 155427826, 481370601, 1501569819, 4667505936, 14454412939, 44845109069, 139426950850, 433097541907, 1343835090319, 4171764326604

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Row 4 of A303410.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 71

Cf. A303410.

Empirical recurrence of order 71 (see link above)

A303412 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 61, 541, 902, 4013, 29411, 160247, 660748, 3071197, 17079507, 88199621, 419285701, 2063343133, 10608771290, 53689192266, 265848111937, 1327085663799, 6701302273037, 33718513860297, 168717573787828, 845811333794914

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Row 5 of A303410.

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

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

Cf. A303410.

A303413 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 162, 2327, 3256, 21361, 236326, 1716995, 8688851, 56229035, 428784791, 3021617644, 19058753004, 128800589241, 899664264951, 6188584855591, 41513163165807, 282748964373121, 1940464266658865, 13278427810584311

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Row 6 of A303410.

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

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

Cf. A303410.

A303414 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 421, 10384, 15852, 115770, 2158662, 24386918, 158640643, 1293822589, 14788283853, 149020593141, 1275569366713, 11671994401668, 115222219445362, 1107799093548111, 10250710845474527, 96126433140397235, 918622040686576956

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Row 7 of A303410.

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

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

Cf. A303410.

A303405 Number of n X n 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 28, 168, 4013, 236326, 24386918, 4298730424, 1222253462556

Offset: 1

R. H. Hardin, Apr 23 2018

nonn

Diagonal of A303410.

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

Cf. A303410.

cp's OEIS Frontend

A303406 Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303407 Number of nX5 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303408 Number of nX6 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303409 Number of nX7 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303411 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303412 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303413 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303414 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303405 Number of n X n 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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