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A204377 Number of (n+2) X 6 0..1 arrays with every 3 X 3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. 1
113, 63, 75, 87, 111, 153, 217, 323, 495, 771, 1219, 1945, 3117, 5015, 8087, 13055, 21095, 34105, 55153, 89211, 144319, 233483, 377755, 611193, 988901, 1600047, 2588903, 4188903, 6777759, 10966617, 17744329, 28710899, 46455183, 75166035 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A204381.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +a(n-3) -a(n-4) -a(n-5) for n>8.

Empirical g.f.: x*(113 - 50*x - 101*x^2 - 164*x^3 - x^4 + 56*x^5 + 4*x^6 + 4*x^7) / ((1 - x)*(1 - x - x^2)*(1 + x + x^2)). - Colin Barker, Jun 07 2018

EXAMPLE

Some solutions for n=3:

..0..1..1..0..0..0....0..1..0..1..0..0....0..0..0..0..1..0....0..1..0..0..1..1

..0..1..1..0..0..1....0..1..0..1..0..0....1..1..1..1..1..1....0..1..0..0..1..1

..0..1..1..0..0..1....0..1..0..1..0..0....1..1..1..1..1..1....0..1..0..0..1..1

..0..1..1..0..0..1....0..1..0..1..0..0....0..1..0..0..0..0....0..1..0..0..1..1

..0..1..1..0..0..1....0..1..0..1..0..0....0..1..1..1..1..1....0..0..0..0..1..1

CROSSREFS

Cf. A204381.

Sequence in context: A151645 A115486 A157885 * A242557 A345072 A214503

Adjacent sequences:  A204374 A204375 A204376 * A204378 A204379 A204380

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 14 2012

STATUS

approved

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Last modified September 18 07:15 EDT 2021. Contains 347510 sequences. (Running on oeis4.)