A255797 Number of (n+2) X (4+2) 0..1 arrays with no 3 x 3 subblock diagonal sum 1 and no antidiagonal sum 2 and no row sum 0 and no column sum 3.

409, 262, 198, 200, 268, 263, 384, 336, 326, 344, 476, 471, 708, 608, 598, 632, 892, 887, 1356, 1152, 1142, 1208, 1724, 1719, 2652, 2240, 2230, 2360, 3388, 3383, 5244, 4416, 4406, 4664, 6716, 6711, 10428, 8768, 8758, 9272, 13372, 13367, 20796, 17472, 17462

Offset

1,1

Links

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

Formula

Empirical: a(n) = 3*a(n-6) - 2*a(n-12) for n>15.

Empirical g.f.: x*(409 + 262*x + 198*x^2 + 200*x^3 + 268*x^4 + 263*x^5 - 843*x^6 - 450*x^7 - 268*x^8 - 256*x^9 - 328*x^10 - 318*x^11 + 374*x^12 + 124*x^13 + 16*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^6)). - Colin Barker, Dec 20 2018

Example

Some solutions for n=4:
..1..0..0..1..1..1....0..1..0..1..0..1....1..0..0..1..0..0....1..0..0..1..0..1
..0..1..1..0..1..0....0..0..1..0..1..0....0..1..0..0..1..0....0..1..1..0..1..0
..0..1..0..1..0..0....0..1..0..1..0..1....0..0..1..0..0..1....0..1..0..1..0..0
..1..0..1..1..0..0....1..0..1..0..1..0....1..0..0..1..0..0....1..0..1..1..0..0
..0..1..0..0..1..1....0..1..0..1..0..1....0..1..0..0..1..0....0..1..0..0..1..1
..1..0..1..0..1..1....1..1..1..0..1..0....0..0..1..0..0..1....1..0..1..0..1..1

Crossrefs

Column 4 of A255801.

Sequence in context: A163024 A283948 A069298 * A345544 A345797 A139661

Adjacent sequences: A255794 A255795 A255796 * A255798 A255799 A255800

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved