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A302523
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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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1
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1, 7, 28, 115, 497, 2086, 9091, 40575, 172996, 760155, 3348129, 14520438, 63606819, 278902951, 1216232548, 5321761651, 23294489377, 101772095142, 445140686771, 1947282645119, 8512898474820, 37229821964539, 162827989419377
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OFFSET
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1,2
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COMMENTS
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Column 3 of A302528.
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LINKS
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R. H. Hardin, Table of n, a(n) for n = 1..210
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FORMULA
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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)
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EXAMPLE
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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
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CROSSREFS
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Cf. A302528.
Sequence in context: A207098 A037597 A037702 * A290913 A303406 A054626
Adjacent sequences: A302520 A302521 A302522 * A302524 A302525 A302526
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Apr 09 2018
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STATUS
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approved
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