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A234414 Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having the absolute values of all six edge and diagonal differences no larger than 1. 1
106, 550, 2848, 14794, 76996, 401332, 2094334, 10939294, 57181342, 299074768, 1565010838, 8192728552, 42902476216, 224726079286, 1177392512218, 6169767623782, 32335691922208, 169492250976178, 888510183018244 (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) = 13*a(n-1) - 54*a(n-2) + 57*a(n-3) + 90*a(n-4) - 96*a(n-5) - 108*a(n-6) - 24*a(n-7).

Empirical g.f.: 2*x*(53 - 414*x + 711*x^2 + 714*x^3 - 1212*x^4 - 1200*x^5 - 264*x^6) / (1 - 13*x + 54*x^2 - 57*x^3 - 90*x^4 + 96*x^5 + 108*x^6 + 24*x^7). - Colin Barker, Oct 14 2018

EXAMPLE

Some solutions for n=5:

  0 0   3 4   1 1   5 5   1 0   0 1   1 1   4 5   3 3   3 2

  0 1   4 3   2 1   5 4   1 1   1 1   2 2   4 5   3 4   3 3

  0 1   4 3   1 2   5 5   1 1   1 1   1 1   4 4   3 4   2 2

  1 0   4 4   1 1   6 6   0 1   0 1   2 2   3 3   4 4   2 3

  1 0   4 4   2 2   6 6   0 1   1 1   2 2   3 3   3 4   2 3

  0 0   5 4   2 2   6 5   0 0   2 2   2 3   4 4   3 4   3 2

CROSSREFS

Column 1 of A234421.

Sequence in context: A260937 A200868 A234421 * A090037 A187588 A051974

Adjacent sequences:  A234411 A234412 A234413 * A234415 A234416 A234417

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 25 2013

STATUS

approved

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Last modified July 3 16:27 EDT 2022. Contains 355055 sequences. (Running on oeis4.)