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.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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 * A309787 A064963 A300984

Adjacent sequences: A258960 A258961 A258962 * A258964 A258965 A258966

Keyword

nonn

Author

R. H. Hardin, Jun 15 2015

Status

approved