A255798 Number of (n+2) X (5+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.

733, 340, 256, 268, 286, 290, 472, 630, 674, 748, 814, 866, 1540, 2190, 2414, 2668, 2926, 3170, 5812, 8430, 9374, 10348, 11374, 12386, 22900, 33390, 37214, 41068, 45166, 49250, 91252, 133230, 148574, 163948, 180334, 196706, 364660, 532590

Offset

1,1

Links

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

Formula

Empirical: a(n) = 5*a(n-6) - 4*a(n-12) for n>15.

Empirical g.f.: x*(733 + 340*x + 256*x^2 + 268*x^3 + 286*x^4 + 290*x^5 - 3193*x^6 - 1070*x^7 - 606*x^8 - 592*x^9 - 616*x^10 - 584*x^11 + 2112*x^12 + 400*x^13 + 68*x^14) / ((1 - x)*(1 + x)*(1 - x + x^2)*(1 + x + x^2)*(1 - 2*x^3)*(1 + 2*x^3)). - Colin Barker, Dec 20 2018

Example

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

Crossrefs

Column 5 of A255801.

Sequence in context: A098263 A289571 A098291 * A044988 A288882 A178093

Adjacent sequences: A255795 A255796 A255797 * A255799 A255800 A255801

Keyword

nonn

Author

R. H. Hardin, Mar 06 2015

Status

approved