A256744 Number of (n+2)X(4+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

2065, 2512, 3752, 5888, 10360, 18688, 33616, 61568, 112928, 209024, 394816, 732800, 1397888, 2665088, 5068544, 9757312, 18928128, 36301440, 71073280, 138021504, 269741056, 527544960, 1039244800, 2031272576, 4023613440, 7901280896

Offset

1,1

Comments

Column 4 of A256748

Links

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

Formula

Empirical: a(n) = 7*a(n-2) +8*a(n-3) -14*a(n-4) -52*a(n-5) -8*a(n-6) +88*a(n-7) +96*a(n-8) -32*a(n-9) -128*a(n-10) for n>14

Example

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

Crossrefs

Cf. A256748

Sequence in context: A204314 A204310 A168432 * A015993 A065217 A249288

Adjacent sequences: A256741 A256742 A256743 * A256745 A256746 A256747

Keyword

nonn

Author

R. H. Hardin, Apr 09 2015

Status

approved