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URL: https://oeis.org/A258963

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A258963
Number of (n+2) X (5+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3.
1
676, 614, 288, 340, 384, 466, 552, 724, 912, 1248, 1632, 2296, 3072, 4392, 5952, 8584, 11712, 16968, 23232, 33736, 46272, 67272, 92352, 134344, 184512, 268488, 368832, 536776, 737472, 1073352, 1474752, 2146504, 2949312, 4292808, 5898432, 8585416
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 3*a(n-2) - 2*a(n-4) for n>10.
Empirical g.f.: 2*x*(338 + 307*x - 870*x^2 - 751*x^3 + 436*x^4 + 337*x^5 - 12*x^6 + 3*x^7 + 12*x^8 + 4*x^9) / ((1 - x)*(1 + x)*(1 - 2*x^2)). - Colin Barker, Dec 24 2018
EXAMPLE
Some solutions for n=4:
..0..1..0..1..0..1..1....0..1..0..1..0..1..1....1..0..1..0..1..1..0
..1..0..0..1..1..0..0....1..0..1..0..1..0..0....0..0..1..1..0..0..1
..0..1..1..0..0..1..1....0..0..1..0..1..0..1....1..1..0..0..1..1..0
..1..0..0..1..1..0..0....1..1..0..1..0..1..0....0..0..1..1..0..0..1
..0..1..1..0..0..1..1....0..1..0..1..0..1..1....1..1..0..0..1..1..0
..0..0..1..0..1..0..0....1..0..1..0..1..0..0....0..0..1..1..0..0..1
CROSSREFS
Column 5 of A258966.
Sequence in context: A159208 A358174 A173134 * A380938 A309787 A064963
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jun 15 2015
STATUS
approved