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A234134 Number of (n+1) X (2+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
80, 152, 296, 680, 1544, 4040, 9992, 28040, 72200, 209672, 549896, 1623560, 4294664, 12782600, 33951752, 101455880, 270016520, 808464392, 2153791496, 6455058440, 17205067784, 51589988360, 137539682312, 412518285320, 1099914412040 (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*(10 - 11*x - 100*x^2 + 122*x^3 + 172*x^4 - 200*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   3 3 3   2 2 2   1 1 1   3 3 3   2 3 2   1 1 1

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

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

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

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

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

CROSSREFS

Column 2 of A234140.

Sequence in context: A202440 A248432 A107931 * A134769 A295593 A043332

Adjacent sequences:  A234131 A234132 A234133 * A234135 A234136 A234137

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified October 2 23:51 EDT 2022. Contains 357230 sequences. (Running on oeis4.)