A184001 Number of (n+1) X 8 0..2 arrays with all 2 X 2 subblock sums the same.

13225, 15555, 19217, 26655, 39697, 66591, 118097, 227319, 453025, 954495, 2073857, 4730055, 11163217, 27594351, 70508657, 187283319, 510129025, 1427563935, 4057091297, 11721369255, 34143669937, 100392943311, 296377454417

Offset

1,1

Comments

Column 7 of A184003.

Links

R. H. Hardin, Table of n, a(n) for n = 1..107

Formula

Empirical: a(n) = 6*a(n-1) - 60*a(n-3) + 85*a(n-4) + 150*a(n-5) - 360*a(n-6) + 396*a(n-8) - 216*a(n-9).

Empirical g.f.: x*(13225 - 63795*x - 74113*x^2 + 704853*x^3 - 311058*x^4 - 2324496*x^5 + 2112156*x^6 + 2352132*x^7 - 2606904*x^8) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 2*x^2)*(1 - 3*x^2)*(1 - 6*x^2)). - Colin Barker, Apr 09 2018

Example

Some solutions for 3 X 8:
..1..1..1..0..2..0..2..0....2..0..1..2..1..0..1..2....2..2..0..2..0..2..0..1
..1..0..1..1..0..1..0..1....1..2..2..0..2..2..2..0....0..0..2..0..2..0..2..1
..0..2..0..1..1..1..1..1....2..0..1..2..1..0..1..2....2..2..0..2..0..2..0..1

Crossrefs

Cf. A184003.

Sequence in context: A252587 A346904 A235967 * A345583 A345840 A031620

Adjacent sequences: A183998 A183999 A184000 * A184002 A184003 A184004

Keyword

nonn

Author

R. H. Hardin, Jan 08 2011

Status

approved