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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 (list; graph; refs; listen; history; text; internal format)
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 * A269192 A033695 A269141

Adjacent sequences:  A204772 A204773 A204774 * A204776 A204777 A204778

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 19 2012

STATUS

approved

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Last modified September 21 13:58 EDT 2021. Contains 347598 sequences. (Running on oeis4.)