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A234136 Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9. 1
512, 680, 968, 1640, 2984, 6440, 14120, 35624, 86312, 236840, 602408, 1726760, 4497704, 13185320, 34750760, 103047464, 273187112, 814793000, 2166423848, 6480298280, 17255498024, 51690799400, 137741205800, 412921233704 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) + 8*a(n-2) - 30*a(n-3) + 4*a(n-4) + 48*a(n-5) - 32*a(n-6).

Empirical g.f.: 8*x*(64 - 107*x - 646*x^2 + 1082*x^3 + 1084*x^4 - 1736*x^5) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)*(1 - 8*x^2)). - Colin Barker, Oct 13 2018

EXAMPLE

Some solutions for n=5:

  3 0 3 0 3      3 0 3 2 2      2 3 0 3 0      3 0 3 2 3

  2 2 2 2 2      2 2 2 0 3      2 0 0 0 0      2 2 2 0 2

  3 0 3 0 3      3 0 3 2 2      2 3 0 3 0      3 0 3 2 3

  1 1 1 1 1      2 2 2 0 3      0 2 2 2 2      2 2 2 0 2

  0 3 0 3 0      3 0 3 2 2      2 3 0 3 0      3 0 3 2 3

  2 2 2 2 2      2 2 2 0 3      0 2 2 2 2      0 0 0 2 0

CROSSREFS

Column 4 of A234140.

Sequence in context: A224563 A217849 A045003 * A248536 A202461 A046311

Adjacent sequences:  A234133 A234134 A234135 * A234137 A234138 A234139

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified January 23 03:08 EST 2019. Contains 319370 sequences. (Running on oeis4.)