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A281078
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Number of nX6 0..1 arrays with no element equal to more than two of its horizontal, vertical and 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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0, 318, 2948, 10474, 32244, 89042, 231146, 578810, 1415986, 3412832, 8138242, 19255302, 45279250, 105930602, 246729068, 572425420, 1323415002, 3050017738, 7009194836, 16066007352, 36738631114, 83830589316, 190908674356
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OFFSET
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1,2
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COMMENTS
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Column 6 of A281080.
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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) = 9*a(n-1) -32*a(n-2) +56*a(n-3) -48*a(n-4) +16*a(n-5) +4*a(n-7) -20*a(n-8) +26*a(n-9) +18*a(n-10) -66*a(n-11) +46*a(n-12) -14*a(n-14) +14*a(n-15) -4*a(n-16) -12*a(n-17) -5*a(n-18) +25*a(n-19) -10*a(n-20) -2*a(n-21) -a(n-22) -5*a(n-23) +10*a(n-24) -2*a(n-25) -2*a(n-26) -a(n-28) +a(n-29) for n>37
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EXAMPLE
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Some solutions for n=4
..0..0..1..0..0..1. .0..0..0..1..1..0. .0..1..1..1..0..1. .0..0..1..1..0..1
..0..1..0..1..0..1. .1..1..0..0..1..0. .0..0..0..1..0..0. .1..0..0..1..1..0
..1..0..1..0..1..0. .1..0..1..0..1..0. .1..1..0..1..0..1. .1..1..0..0..1..0
..0..0..1..0..1..1. .0..1..1..0..1..1. .0..1..0..1..1..0. .0..1..1..0..1..0
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CROSSREFS
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Cf. A281080.
Sequence in context: A278131 A075153 A204835 * A262846 A225579 A261281
Adjacent sequences: A281075 A281076 A281077 * A281079 A281080 A281081
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KEYWORD
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nonn
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AUTHOR
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R. H. Hardin, Jan 14 2017
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STATUS
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approved
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