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A204750 Number of (n+2) X 6 0..1 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..1 introduced in row major order. 1
188, 28, 27, 32, 40, 53, 74, 108, 163, 252, 396, 629, 1006, 1616, 2603, 4200, 6784, 10965, 17730, 28676, 46387, 75044, 121412, 196437, 317830, 514248, 832059, 1346288, 2178328, 3524597, 5702906, 9227484, 14930371, 24157836, 39088188 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A204754.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) - a(n-3) for n > 5.

Empirical g.f.: x*(188 - 348*x - 29*x^2 + 166*x^3 + 4*x^4) / ((1 - x)*(1 - x - x^2)). - Colin Barker, Jun 09 2018

EXAMPLE

Some solutions for n=3:

  0 0 0 0 0 0    0 0 1 0 1 0    0 1 0 1 0 0    0 1 0 1 1 0

  1 1 1 1 1 1    0 0 1 0 1 0    0 1 0 1 0 0    0 1 0 1 1 0

  1 1 1 1 1 1    0 0 1 0 1 0    0 1 0 1 0 0    0 1 0 1 1 0

  0 0 0 0 0 0    0 0 1 0 1 0    0 1 0 1 0 0    0 1 0 1 1 0

  1 1 1 1 1 1    0 0 1 0 1 0    0 1 0 1 0 0    0 1 0 1 1 0

CROSSREFS

Cf. A204754.

Sequence in context: A198905 A198252 A070257 * A015986 A065212 A044998

Adjacent sequences:  A204747 A204748 A204749 * A204751 A204752 A204753

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 18 2012

STATUS

approved

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Last modified January 27 15:45 EST 2022. Contains 350607 sequences. (Running on oeis4.)