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A234210
Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the squares of all six edge and diagonal differences equal to 11.
1
72, 308, 1248, 5344, 21888, 93760, 385536, 1651712, 6801408, 29139968, 120053760, 514367488, 2119532544, 9081143296, 37422759936, 160338280448, 660758593536, 2831030681600, 11666857132032, 49986848948224, 205999608692736
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 24*a(n-2) - 112*a(n-4).
Empirical g.f.: 4*x*(18 + 77*x - 120*x^2 - 512*x^3) / (1 - 24*x^2 + 112*x^4). - Colin Barker, Oct 13 2018
EXAMPLE
Some solutions for n=6:
4 4 3 3 4 4 3 1 1 2 2 1 2 0 0 1 3 1 1 2
2 3 1 2 3 2 2 3 2 0 1 3 1 2 0 2 2 3 0 2
1 3 2 0 4 4 3 1 1 0 1 2 0 2 2 1 3 1 1 0
1 2 1 2 3 2 1 2 0 2 1 3 2 1 0 2 3 2 0 2
0 0 0 0 4 2 3 3 1 2 3 2 3 3 1 2 4 4 1 2
1 2 1 2 4 3 1 2 1 3 2 4 1 2 1 3 3 2 2 0
0 2 1 3 2 2 3 3 3 2 3 4 1 3 3 2 1 3 1 0
CROSSREFS
Column 1 of A234217.
Sequence in context: A277991 A205627 A234217 * A157909 A107314 A223472
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 21 2013
STATUS
approved