A300811 -id:A300811 - cp's OEIS frontend

A300806 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

4, 29, 170, 1004, 5908, 34836, 205369, 1210811, 7138574, 42087052, 248133414, 1462925107, 8624996341, 50850561207, 299800657068, 1767540650375, 10420924293471, 61438849007573, 362226234550315, 2135584359343994

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Column 3 of A300811.

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

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

Cf. A300811.

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -10*a(n-3) -a(n-4) +4*a(n-5) -17*a(n-6) +2*a(n-7) +5*a(n-8) -6*a(n-9) +5*a(n-10) -2*a(n-12) +a(n-13)

A300807 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 108, 1004, 9504, 90980, 872495, 8363710, 80174942, 768542846, 7367167560, 70620793761, 676962861970, 6489288003156, 62205568978236, 596295430879394, 5716019441254447, 54793105139432783, 525240405862663157

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Column 4 of A300811.

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

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

Cf. A300811.

Empirical: a(n) = 9*a(n-1) +14*a(n-2) -85*a(n-3) +32*a(n-4) +173*a(n-5) -538*a(n-6) +239*a(n-7) -314*a(n-8) -582*a(n-9) +2609*a(n-10) -6135*a(n-11) +4425*a(n-12) +6902*a(n-13) -11546*a(n-14) +11819*a(n-15) -2599*a(n-16) +5573*a(n-17) +2416*a(n-18) -3913*a(n-19) -7952*a(n-20) -4866*a(n-21) -3412*a(n-22) -9217*a(n-23) -2122*a(n-24) +464*a(n-25) +4111*a(n-26) +2278*a(n-27) +158*a(n-28) +2257*a(n-29) +148*a(n-30) -1659*a(n-31) +32*a(n-32) +273*a(n-33) -349*a(n-34) +47*a(n-35) +134*a(n-36) -32*a(n-37) -20*a(n-38) +9*a(n-39) -a(n-40)

A300808 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 401, 5908, 90980, 1415898, 22066384, 343667594, 5352803078, 83370618870, 1298522133491, 20224807270510, 315006587914766, 4906307896242419, 76417000191122495, 1190214305925792113, 18537892031543901060

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Column 5 of A300811.

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

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

Cf. A300811.

A300809 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 1490, 34836, 872495, 22066384, 559634028, 14189038853, 359766695966, 9121562946307, 231272831721241, 5863793161067426, 148673270791278610, 3769528495204343311, 95574315400763857215, 2423234009392860653804

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Column 6 of A300811.

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

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

Cf. A300811.

A300810 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 5536, 205369, 8363710, 343667594, 14189038853, 585611214958, 24166702223161, 997271941003944, 41155002052053688, 1698364186084410971, 70087264998653292977, 2892325757357593824036, 119359046546325613534455

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Column 7 of A300811.

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

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

Cf. A300811.

A300805 Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 170, 9504, 1415898, 559634028, 585611214958, 1623186113355468, 11918444465082418938, 231853794250990035322072

Offset: 1

R. H. Hardin, Mar 13 2018

nonn

Diagonal of A300811.

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

Cf. A300811.

cp's OEIS Frontend

A300806 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300807 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300808 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300809 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300810 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300805 Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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