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A184000 Number of (n+1) X 7 0..2 arrays with all 2 X 2 subblock sums the same. 1
5175, 6417, 8415, 12525, 19935, 35565, 66591, 134853, 282735, 628557, 1444815, 3494805, 8731935, 22771005, 60933951, 168205893, 472111695, 1351666797, 3905565615, 11418586485, 33538635135, 99183404445, 293959431711 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A184003.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

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.: 3*x*(1725 - 8211*x - 10029*x^2 + 90845*x^3 - 36690*x^4 - 300280*x^5 + 263292*x^6 + 304884*x^7 - 328536*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 7:

..2..2..0..0..2..0..1....0..1..2..2..2..1..2....1..0..0..1..2..2..1

..0..0..2..2..0..2..1....2..2..0..1..0..2..0....1..2..2..1..0..0..1

..2..2..0..0..2..0..1....0..1..2..2..2..1..2....1..0..0..1..2..2..1

CROSSREFS

Cf. A184003.

Sequence in context: A249841 A247258 A107344 * A247259 A186900 A186847

Adjacent sequences: A183997 A183998 A183999 * A184001 A184002 A184003

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 08 2011

STATUS

approved

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Last modified January 26 17:30 EST 2023. Contains 359833 sequences. (Running on oeis4.)