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A204775
Number of (n+2) X 3 0..2 arrays with no 3 X 3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..2 introduced in row major order.
1
2592, 55296, 1180224, 25190406, 537665796, 11475976536, 244944162648, 5228107832664, 111589154041536, 2381767878219264, 50836645164242304, 1085061443303739744, 23159638720382882112, 494321191641967752576
OFFSET
1,1
COMMENTS
Column 1 of A204782.
LINKS
FORMULA
Empirical: a(n) = 22*a(n-1) - 308*a(n-3) + 196*a(n-4).
Empirical g.f.: 54*x*(48 - 32*x - 672*x^2 + 441*x^3) / ((1 - 22*x + 14*x^2)*(1 - 14*x^2)). - Colin Barker, Jun 10 2018
EXAMPLE
Some solutions for n=3:
0 0 0 0 0 1 0 1 1 0 1 2 0 0 1 0 0 0 0 1 0
1 0 0 2 0 2 0 1 2 1 0 2 2 2 0 0 0 0 0 1 1
2 1 1 2 2 1 2 1 2 2 0 1 0 0 2 1 1 2 1 0 2
2 0 0 0 2 1 0 0 1 2 1 0 1 0 0 1 2 1 1 2 2
1 2 2 2 0 1 0 2 0 2 2 2 0 2 2 0 2 1 0 1 1
CROSSREFS
Cf. A204782.
Sequence in context: A156322 A096298 A204782 * A360841 A269192 A033695
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 19 2012
STATUS
approved