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A281650
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Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
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1
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2, 400, 7986, 135444, 2159590, 32771472, 483655876, 6987992320, 99358947608, 1395010709860, 19387305130218, 267179720941768, 3656156025688492, 49732278903615588, 672986584493901470, 9066096794997480688
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OFFSET
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1,1
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COMMENTS
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Column 4 of A281653.
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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) = 26*a(n-1) -163*a(n-2) -252*a(n-3) +2003*a(n-4) +3540*a(n-5) -3665*a(n-6) -21804*a(n-7) -50091*a(n-8) -16676*a(n-9) +102064*a(n-10) +103800*a(n-11) +42777*a(n-12) -28852*a(n-13) -138546*a(n-14) +272762*a(n-15) -25872*a(n-16) -879144*a(n-17) +249945*a(n-18) +514090*a(n-19) -431504*a(n-20) +81404*a(n-21) +293927*a(n-22) +131582*a(n-23) +143*a(n-24) -73224*a(n-25) -55435*a(n-26) -40960*a(n-27) -21076*a(n-28) -7894*a(n-29) -2713*a(n-30) -598*a(n-31) -169*a(n-32) for n>37
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EXAMPLE
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Some solutions for n=4
..0..1..0..1. .0..0..1..0. .0..1..2..0. .0..1..1..0. .0..0..1..1
..0..1..1..1. .2..0..2..1. .2..0..2..0. .2..1..2..0. .2..1..2..0
..0..1..2..0. .2..1..2..0. .1..0..1..2. .0..1..0..1. .0..0..2..1
..0..2..0..1. .0..0..2..0. .2..2..0..0. .0..2..2..1. .1..1..2..1
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CROSSREFS
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Cf. A281653.
Sequence in context: A249176 A249177 A249178 * A324403 A214597 A283661
Adjacent sequences: A281647 A281648 A281649 * A281651 A281652 A281653
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 26 2017
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STATUS
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approved
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