A256745 Number of (n+2)X(5+2) 0..1 arrays with no 3x3 subblock diagonal sum 3 and no antidiagonal sum 3 and no row sum 0 and no column sum 0

5255, 6352, 9112, 10360, 22080, 47440, 96576, 160704, 300864, 463632, 1034880, 2109632, 4284608, 6583568, 14819840, 24554944, 53916864, 105740048, 216703616, 332082880, 839473856, 1386101008, 2999244544, 5804012480, 12212984000

Offset

1,1

Comments

Column 5 of A256748

Links

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

Formula

Empirical: a(n) = -2*a(n-1) +2*a(n-2) +16*a(n-3) +25*a(n-4) -14*a(n-5) -50*a(n-6) -64*a(n-7) -120*a(n-8) -296*a(n-9) -112*a(n-10) +1088*a(n-11) +1728*a(n-12) +384*a(n-13) -2048*a(n-14) -2048*a(n-15) for n>18

Example

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

Crossrefs

Cf. A256748

Sequence in context: A260176 A093182 A124658 * A206165 A206379 A234229

Adjacent sequences: A256742 A256743 A256744 * A256746 A256747 A256748

Keyword

nonn

Author

R. H. Hardin, Apr 09 2015

Status

approved