A204775 - OEIS

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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.

2592, 55296, 1180224, 25190406, 537665796, 11475976536, 244944162648, 5228107832664, 111589154041536, 2381767878219264, 50836645164242304, 1085061443303739744, 23159638720382882112, 494321191641967752576

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OFFSET

1,1

COMMENTS

Column 1 of A204782.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A204772 A204773 A204774 * A204776 A204777 A204778

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 19 2012

STATUS

approved