

A146125


Number of n X n arrays of squares of integers with every (n1) X (n1) subblock summing to 5 and every element equal to at least one neighbor.


1



0, 93, 2046, 8675, 24622, 56389, 112078, 201457, 335974, 528757, 794614, 1150033, 1613182, 2203909, 2943742, 3855889, 4965238, 6298357, 7883494, 9750577, 11931214, 14458693, 17367982, 20695729, 24480262
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OFFSET

3,2


LINKS



FORMULA

Empirical (for n>=7): a(n) = 70*n^4  752*n^3 + 3059*n^2  5680*n + 4357.  Vaclav Kotesovec, Nov 30 2012
G.f.: x^4*(93 + 1581*x  625*x^2 + 777*x^3 + 34*x^4  260*x^5 + 66*x^6 + 14*x^7) / (1  x)^5.
a(n) = 5*a(n1)  10*a(n2) + 10*a(n3)  5*a(n4) + a(n5) for n>11.
(End)


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



