A302741 -id:A302741 - cp's OEIS frontend

A302736 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

4, 32, 228, 1652, 11980, 86916, 630604, 4575332, 33196332, 240856196, 1747533964, 12679246500, 91994373868, 667465912772, 4842804251724, 35137004861924, 254936818941100, 1849696122577668, 13420484966010892, 97372435679847716

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Column 3 of A302741.

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

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

Cf. A302741.

Empirical: a(n) = 7*a(n-1) +2*a(n-2) +2*a(n-3) -20*a(n-4) -16*a(n-5)

A302737 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 128, 1637, 21625, 286631, 3798398, 50347423, 667361051, 8845980434, 117255120887, 1554238778426, 20601729761966, 273079838843598, 3619725111303264, 47980143627858744, 635985913868386593

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Column 4 of A302741.

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

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

Cf. A302741.

Empirical: a(n) = 12*a(n-1) +20*a(n-2) -18*a(n-3) -326*a(n-4) -375*a(n-5) +241*a(n-6) +1721*a(n-7) +1034*a(n-8) -798*a(n-9) -966*a(n-10) +86*a(n-11) +278*a(n-12) -242*a(n-13) -348*a(n-14) -112*a(n-15)

A302738 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 512, 11814, 285613, 6947036, 168833401, 4104946296, 99807877377, 2426739457531, 59004229082101, 1434640787398200, 34882150655708793, 848131798093298119, 20621651341736039102, 501399081664691938244

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Column 5 of A302741.

			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
..0..0..1..1..0. .0..1..0..1..0. .0..0..0..1..0. .0..0..0..1..1
..0..0..1..0..1. .0..1..1..0..1. .1..0..1..1..1. .1..0..1..1..1
..1..1..0..0..0. .1..0..1..0..0. .1..0..0..1..0. .0..1..0..0..0
..1..1..0..0..1. .0..0..0..1..0. .1..1..1..0..0. .1..0..0..1..1

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

Cf. A302741.

Empirical: a(n) = 22*a(n-1) +83*a(n-2) -348*a(n-3) -7035*a(n-4) -12847*a(n-5) +101126*a(n-6) +715314*a(n-7) +551768*a(n-8) -7976480*a(n-9) -28155124*a(n-10) +2223552*a(n-11) +225326378*a(n-12) +398991738*a(n-13) -381402071*a(n-14) -1855238986*a(n-15) -1195015793*a(n-16) +2403141606*a(n-17) +3529071043*a(n-18) -880293737*a(n-19) -3044285462*a(n-20) +3274803791*a(n-21) +8578409618*a(n-22) +33030614*a(n-23) -15141436247*a(n-24) -15534577096*a(n-25) +3742098782*a(n-26) +20424779659*a(n-27) +13937583556*a(n-28) -7123915776*a(n-29) -17656823459*a(n-30) -8146649764*a(n-31) +6692884054*a(n-32) +10427831751*a(n-33) +4098906129*a(n-34) -1206533270*a(n-35) -1528012560*a(n-36) -444188050*a(n-37) -263602856*a(n-38) -358593728*a(n-39) -242520692*a(n-40) -110328384*a(n-41) -49499632*a(n-42) -16170992*a(n-43) -4119712*a(n-44) -592880*a(n-45) -34752*a(n-46)

A302739 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 2048, 85268, 3778433, 168799572, 7530280825, 336148647504, 15005851329729, 669868217032865, 29903422831135923, 1334911181586033610, 59591443914944392698, 2660207213782069872253, 118753666013501679372163

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Column 6 of A302741.

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

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

Cf. A302741.

A302740 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 8192, 615589, 50012515, 4104115772, 336126343424, 27552364197684, 2258515399666414, 185133937573802146, 15175842668215691966, 1243997339324531820830, 101973231441890685645169

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Column 7 of A302741.

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

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

Cf. A302741.

A302742 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 32, 228, 1637, 11814, 85268, 615589, 4444226, 32085336, 231641898, 1672352613, 12073650477, 87166448968, 629303444781, 4543294244531, 32800587324576, 236805822155030, 1709633941974433, 12342805548255732, 89109630466361141

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Row 3 of A302741.

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

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

Cf. A302741.

Empirical: a(n) = 7*a(n-1) +4*a(n-2) -17*a(n-3) -3*a(n-4) -9*a(n-6) +14*a(n-7) for n>8

A302743 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 128, 1652, 21625, 285613, 3778433, 50012515, 662080634, 8765152857, 116041489300, 1536272725817, 20338725884827, 269264599669170, 3564797029819794, 47194388320663969, 624807045634867762

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Row 4 of A302741.

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

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

Cf. A302741.

Empirical: a(n) = 13*a(n-1) +16*a(n-2) -165*a(n-3) -70*a(n-4) +100*a(n-5) -564*a(n-6) +879*a(n-7) -500*a(n-8) +1128*a(n-9) +1340*a(n-10) -448*a(n-11) -182*a(n-12) -314*a(n-13) +12*a(n-14) +2*a(n-15) for n>16

A302744 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 512, 11980, 286631, 6947036, 168799572, 4104115772, 99818649293, 2427829113648, 59052536397220, 1436349489188322, 34936780127006555, 849778519255324644, 20669440240076116148, 502749555285048546206

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Row 5 of A302741.

			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
..0..0..1..0..1. .0..0..0..1..1. .0..0..1..0..1. .0..0..1..1..1
..0..1..1..1..1. .1..0..1..1..1. .1..0..1..0..1. .1..0..1..0..0
..0..1..0..1..0. .0..1..0..1..0. .1..0..0..0..0. .0..1..0..1..1
..1..0..1..0..0. .1..0..0..1..1. .1..1..1..1..0. .1..0..1..0..0

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 64

Cf. A302741.

Empirical recurrence of order 64 (see link above)

A302745 Number of 6 X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 2048, 86916, 3798398, 168833401, 7530280825, 336126343424, 15010834679441, 670378626187959, 29940446700420704, 1337202711481279800, 59722547584253923663, 2667347131443330301159, 119129941729951306756928

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Row 6 of A302741.

			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
..0..0..0..0..0. .0..0..0..1..0. .0..0..0..0..1. .0..0..0..1..0
..1..1..1..1..1. .1..1..1..0..0. .1..1..1..1..0. .1..0..1..1..0
..0..0..1..1..0. .1..0..1..0..0. .1..0..1..1..1. .1..1..0..1..0
..1..0..1..1..0. .1..0..0..1..0. .1..0..0..0..0. .1..1..0..1..0
..1..0..0..0..0. .1..0..1..1..0. .1..1..1..0..0. .1..1..1..0..0

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

Cf. A302741.

A302746 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 8192, 630604, 50347423, 4104946296, 336148647504, 27552364197684, 2259775666820199, 185346624306819175, 15203212791707362697, 1247058011926331112543, 102291835163573811251710

Offset: 1

R. H. Hardin, Apr 12 2018

nonn

Row 7 of A302741.

			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
..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
..1..1..1..1..1. .1..1..1..1..1. .1..1..1..1..1. .1..1..1..1..1
..0..0..0..1..1. .0..0..0..1..1. .0..0..0..1..0. .0..0..0..0..1
..1..0..1..0..0. .0..1..0..1..1. .1..1..0..1..1. .1..0..0..1..0
..0..0..1..0..0. .0..1..0..0..1. .0..0..1..0..1. .0..1..1..0..0
..0..1..0..1..0. .1..1..1..1..1. .0..0..0..0..1. .1..1..0..1..1

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

Cf. A302741.

cp's OEIS Frontend

A302736 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302737 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302738 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302739 Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302740 Number of nX7 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302742 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302743 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302744 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302745 Number of 6 X n 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302746 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.