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A184001 Number of (n+1) X 8 0..2 arrays with all 2 X 2 subblock sums the same. 1
13225, 15555, 19217, 26655, 39697, 66591, 118097, 227319, 453025, 954495, 2073857, 4730055, 11163217, 27594351, 70508657, 187283319, 510129025, 1427563935, 4057091297, 11721369255, 34143669937, 100392943311, 296377454417 (list; graph; refs; listen; history; text; internal format)
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: A252590 A252587 A235967 * A031620 A251339 A318252

Adjacent sequences:  A183998 A183999 A184000 * A184002 A184003 A184004

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 08 2011

STATUS

approved

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Last modified May 16 08:07 EDT 2021. Contains 343940 sequences. (Running on oeis4.)