A302670 -id:A302670 - cp's OEIS frontend

A302665 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 14, 43, 194, 691, 2802, 10660, 41839, 161878, 630842, 2449576, 9528949, 37035686, 144004769, 559817133, 2176500315, 8461548011, 32896646099, 127893433256, 497218644961, 1933060065053, 7515258095114, 29217439753668, 113590121120145

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Column 3 of A302670.

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

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

Cf. A302670.

Empirical: a(n) = 4*a(n-1) +4*a(n-2) -11*a(n-3) -27*a(n-4) -12*a(n-5) +85*a(n-6) +22*a(n-7) -22*a(n-8) -108*a(n-9) +72*a(n-10) -80*a(n-11) +120*a(n-12) +64*a(n-14)

A302666 Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 45, 164, 934, 4267, 21949, 106793, 529984, 2617548, 12938179, 63986777, 316244862, 1563877465, 7731246308, 38227036552, 188999363652, 934471931880, 4620268994057, 22843909984025, 112946725741085, 558440468796391

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Column 4 of A302670.

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

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

Cf. A302670.

Empirical: a(n) = 5*a(n-1) +12*a(n-2) -47*a(n-3) -101*a(n-4) +45*a(n-5) +381*a(n-6) +1292*a(n-7) +42*a(n-8) -5366*a(n-9) -7123*a(n-10) +6047*a(n-11) +22989*a(n-12) +15537*a(n-13) -22434*a(n-14) -51326*a(n-15) -29224*a(n-16) +38509*a(n-17) +82591*a(n-18) +44309*a(n-19) -44268*a(n-20) -87403*a(n-21) -42575*a(n-22) +28053*a(n-23) +52051*a(n-24) +24821*a(n-25) -7290*a(n-26) -13614*a(n-27) -6288*a(n-28) +190*a(n-29) +1280*a(n-30) +312*a(n-31) +20*a(n-32) for n>35

A302667 Number of nX5 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 146, 760, 6110, 42367, 316977, 2320879, 17037458, 125456575, 920577056, 6771994976, 49750520267, 365694010435, 2687564829667, 19752736970617, 145173898526499, 1066965083553746, 7841771608569736, 57633622628200420

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Column 5 of A302670.

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

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

Cf. A302670.

A302668 Number of nX6 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 537, 3425, 38736, 352174, 3640304, 35549458, 353912413, 3503182605, 34733392242, 344383586201, 3413092993197, 33838324669263, 335406192214163, 3325046165086088, 32959991923444290, 326735142581592322

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Column 6 of A302670.

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

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

Cf. A302670.

A302669 Number of nX7 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 1934, 15569, 251254, 3204956, 46360666, 637088915, 8880747825, 123521424862, 1717557375519, 23910961429217, 332517383714540, 4627380566545690, 64369973050145418, 895641924918067374, 12460311385203779872

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Column 7 of A302670.

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

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

Cf. A302670.

A302671 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 111, 691, 4267, 42367, 352174, 3204956, 28324200, 248482982, 2223806395, 19612845211, 174147277424, 1545345042448, 13690754212668, 121518036637399, 1077456338230779, 9556752221812425, 84773605649902772, 751847387040101232

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Row 5 of A302670.

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

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

Cf. A302670.

A302672 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 361, 2802, 21949, 316977, 3640304, 46360666, 582115385, 7102982284, 89673817840, 1109953847172, 13832059626512, 172620198739923, 2146228140110545, 26771858593225105, 333424179617097795

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Row 6 of A302670.

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

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

Cf. A302670.

A302673 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1172, 10660, 106793, 2320879, 35549458, 637088915, 11181864782, 188509564214, 3339792969770, 57406756149300, 997632805281762, 17363763785624592, 300575131517843683, 5229363965628293685, 90736499929821199253

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Row 7 of A302670.

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

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

Cf. A302670.

A302664 Number of n X n 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 43, 934, 42367, 3640304, 637088915, 219692176894, 138670742999582

Offset: 1

R. H. Hardin, Apr 11 2018

nonn

Diagonal of A302670.

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

Cf. A302670.

cp's OEIS Frontend

A302665 Number of nX3 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302666 Number of nX4 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302667 Number of nX5 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302668 Number of nX6 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302669 Number of nX7 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302671 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302672 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302673 Number of 7Xn 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302664 Number of n X n 0..1 arrays with every element equal to 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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