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A281079
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Number of nX7 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, 1056, 9188, 30808, 89147, 231146, 566178, 1343304, 3132736, 7230554, 16583786, 37859204, 86112706, 195237270, 441322324, 994760604, 2236239158, 5014472488, 11217924498, 25041061688, 55784820452, 124041914686, 275341091110
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OFFSET
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1,2
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COMMENTS
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Column 7 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-8) -20*a(n-9) +26*a(n-10) +18*a(n-11) -66*a(n-12) +46*a(n-13) -8*a(n-15) -6*a(n-16) +14*a(n-17) -4*a(n-18) -12*a(n-19) -5*a(n-20) +25*a(n-21) -10*a(n-22) -6*a(n-23) +7*a(n-24) -3*a(n-25) -6*a(n-26) +10*a(n-27) -2*a(n-28) -2*a(n-29) -a(n-32) +a(n-33) for n>42
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EXAMPLE
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Some solutions for n=4
..0..1..1..0..1..0..1. .0..1..1..1..1..0..1. .0..1..0..1..0..1..1
..0..0..1..0..0..1..0. .1..0..0..0..1..0..1. .1..0..1..0..1..0..0
..1..0..1..1..0..1..0. .0..1..1..0..1..0..0. .1..0..1..0..1..0..1
..1..0..0..1..1..0..1. .0..1..0..1..0..1..0. .1..0..1..0..0..1..1
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CROSSREFS
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Cf. A281080.
Sequence in context: A225714 A158692 A236905 * A023072 A168627 A223294
Adjacent sequences: A281076 A281077 A281078 * A281080 A281081 A281082
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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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