A255799 Number of (n+2) X (6+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.

1318, 472, 258, 263, 290, 214, 270, 358, 322, 419, 486, 334, 434, 622, 550, 731, 878, 574, 762, 1150, 1006, 1355, 1662, 1054, 1418, 2206, 1918, 2603, 3230, 2014, 2730, 4318, 3742, 5099, 6366, 3934, 5354, 8542, 7390, 10091, 12638, 7774, 10602, 16990

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*(1318 + 472*x + 258*x^2 + 263*x^3 + 290*x^4 + 214*x^5 - 3684*x^6 - 1058*x^7 - 452*x^8 - 370*x^9 - 384*x^10 - 308*x^11 + 2260*x^12 + 492*x^13 + 100*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..1..0..1..0..1..1....0..0..1..0..1..1..0..0....0..1..1..0..0..1..1..1
..0..1..0..1..0..1..0..1....1..1..0..1..0..0..1..1....1..0..0..1..1..0..1..0
..1..0..1..0..1..0..1..0....1..0..1..0..1..0..1..0....0..1..0..1..0..1..0..0
..0..1..0..1..0..1..0..1....0..1..1..0..0..1..0..1....0..0..1..0..1..1..0..0
..1..0..1..0..1..0..1..0....1..0..0..1..1..0..1..0....1..1..0..1..0..0..1..1
..1..1..0..1..0..1..0..0....0..1..0..1..0..1..0..0....1..1..1..0..1..0..1..0

Crossrefs

Column 6 of A255801.

Sequence in context: A260765 A241962 A200202 * A023318 A066663 A067206

Adjacent sequences: A255796 A255797 A255798 * A255800 A255801 A255802

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved