A302528 -id:A302528 - cp's OEIS frontend

A302524 Number of nX4 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

2, 10, 42, 168, 902, 3256, 15852, 77904, 314276, 1506894, 7035934, 30537794, 143024948, 655833426, 2937151450, 13568476862, 61920768478, 280707441628, 1287994621032, 5873565899442, 26746065104754, 122342967545180

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Column 4 of A302528.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 72

Cf. A302528.

Empirical recurrence of order 72 (see link above)

A302529 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 10, 28, 42, 100, 290, 730, 1700, 4246, 10758, 26632, 65846, 164130, 408716, 1015998, 2527374, 6288152, 15643694, 38924730, 96845564, 240934118, 599472054, 1491590968, 3711076182, 9233281458, 22973573260, 57160260398, 142218013758

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Row 3 of A302528.

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

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

Cf. A302528.

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +6*a(n-3) -10*a(n-4) -24*a(n-5) +37*a(n-6) -22*a(n-7) +72*a(n-8) +18*a(n-9) -108*a(n-10) +24*a(n-11) -24*a(n-12) +24*a(n-13) +8*a(n-14) -8*a(n-15) for n>17

A302523 Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 7, 28, 115, 497, 2086, 9091, 40575, 172996, 760155, 3348129, 14520438, 63606819, 278902951, 1216232548, 5321761651, 23294489377, 101772095142, 445140686771, 1947282645119, 8512898474820, 37229821964539, 162827989419377

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Column 3 of A302528.

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

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

Cf. A302528.

Empirical: a(n) = 2*a(n-1) +7*a(n-2) +34*a(n-3) -44*a(n-4) -182*a(n-5) -a(n-6) +54*a(n-7) +479*a(n-8) -772*a(n-9) +328*a(n-10) +2176*a(n-11) -1456*a(n-12) +1088*a(n-13) -4480*a(n-14) +5120*a(n-15) -2304*a(n-16) -5120*a(n-17) +4096*a(n-18)

A302525 Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 27, 100, 539, 3683, 17546, 92603, 615351, 3268978, 18424095, 115923699, 662227998, 3859905731, 23738169083, 140046826890, 831779950595, 5066753588103, 30319152922838, 181816222213079, 1103244221147287

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Column 5 of A302528.

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

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

Cf. A302528.

A302526 Number of nX6 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 45, 290, 1977, 23909, 182773, 1551340, 18089458, 155010391, 1441103898, 14993036510, 137595549895, 1311553678481, 12995883033340, 122771875897789, 1178882157960810, 11465157388913564, 109566686589917765

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Column 6 of A302528.

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

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

Cf. A302528.

A302527 Number of nX7 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 98, 730, 5942, 128242, 1275348, 16130212, 303355178, 3654880956, 51530586242, 829503866128, 11159474949120, 160761590077504, 2423517947094100, 34130627941733812, 494058647385825910, 7263463498716354406

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Column 7 of A302528.

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

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

Cf. A302528.

A302530 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 23, 115, 168, 539, 1977, 5942, 16733, 49219, 159516, 493401, 1460747, 4425266, 13722727, 42140581, 127606254, 388561273, 1192422089, 3648989388, 11120119943, 33934405093, 103799531930, 317293759665, 968655453293, 2958170322080

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Row 4 of A302528.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 68

Cf. A302528.

Empirical recurrence of order 68 (see link above)

A302531 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 61, 497, 902, 3683, 23909, 128242, 465323, 1918153, 10153650, 48825739, 206962001, 913773720, 4366054069, 20367538805, 90798363146, 409867362675, 1900191504221, 8749921654714, 39674026618581, 180520404483627

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Row 5 of A302528.

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

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

Cf. A302528.

A302532 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 162, 2086, 3256, 17546, 182773, 1275348, 5557469, 29725028, 219531538, 1417475683, 7594793077, 44320481404, 286609212983, 1773676415155, 10321010368540, 61768196817718, 382689525785694, 2335752911548794

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Row 6 of A302528.

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

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

Cf. A302528.

A302533 Number of 7 X n 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 421, 9091, 15852, 92603, 1551340, 16130212, 82774516, 506265517, 5660323142, 51739325680, 335761691745, 2418466197168, 21927716125718, 184725699865822, 1350254421406010, 10284927374810243, 86141789798720948, 701278900747323768

Offset: 1

R. H. Hardin, Apr 09 2018

nonn

Row 7 of A302528.

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

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

Cf. A302528.

cp's OEIS Frontend

A302524 Number of nX4 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302529 Number of 3Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302523 Number of nX3 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302525 Number of nX5 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302526 Number of nX6 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302527 Number of nX7 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302530 Number of 4Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302531 Number of 5Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302532 Number of 6Xn 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A302533 Number of 7 X n 0..1 arrays with every element equal to 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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