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A281079
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.
1
0, 1056, 9188, 30808, 89147, 231146, 566178, 1343304, 3132736, 7230554, 16583786, 37859204, 86112706, 195237270, 441322324, 994760604, 2236239158, 5014472488, 11217924498, 25041061688, 55784820452, 124041914686, 275341091110
OFFSET
1,2
COMMENTS
Column 7 of A281080.
LINKS
FORMULA
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
EXAMPLE
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
CROSSREFS
Cf. A281080.
Sequence in context: A225714 A158692 A236905 * A023072 A168627 A223294
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 14 2017
STATUS
approved