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A204282 Number of (n+2) X 8 0..2 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..2 introduced in row major order. 1
14141, 735, 778, 982, 996, 1496, 2860, 5500, 13636, 35860, 94404, 256196, 698212, 1901476, 5192548, 14183908, 38740068, 105836132, 289145956, 789940324, 2158150756, 5896171108, 16108597860, 44009496164, 120236167780, 328491237988 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A204284.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -6*a(n-4) +4*a(n-6) for n>8.

Empirical g.f.: x*(14141 - 41688*x - 1427*x^2 - 1352*x^3 + 82896*x^4 + 2918*x^5 - 53524*x^6 - 128*x^7) / ((1 - x)*(1 - 2*x - 2*x^2)*(1 - 2*x^3)). - Colin Barker, Jun 06 2018

EXAMPLE

Some solutions for n=4:

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

  0 0 1 1 2 1 0 1   0 1 0 2 1 2 2 1   0 1 1 2 1 2 0 0

CROSSREFS

Cf. A204284.

Sequence in context: A206899 A207289 A249192 * A134610 A104825 A184574

Adjacent sequences:  A204279 A204280 A204281 * A204283 A204284 A204285

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 13 2012

STATUS

approved

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Last modified May 26 13:59 EDT 2022. Contains 354092 sequences. (Running on oeis4.)