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A204374 Number of (n+2)X3 0..1 arrays with every 3X3 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
33, 51, 78, 113, 182, 286, 439, 710, 1128, 1775, 2873, 4628, 7422, 12063, 19589, 31772, 51859, 84665, 138190, 226233, 370522, 606890, 995484, 1633475, 2680738, 4402540, 7231998, 11881418, 19526806, 32096793, 52763245, 86751961, 142648787 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A204381

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) -2*a(n-2) -2*a(n-4) +2*a(n-5) +3*a(n-6) -6*a(n-7) +3*a(n-8) -a(n-11) +2*a(n-12) -a(n-13) -a(n-14) +2*a(n-15) -a(n-16)

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A034815 A014976 A109407 * A261107 A211141 A007373

Adjacent sequences:  A204371 A204372 A204373 * A204375 A204376 A204377

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 14 2012

STATUS

approved

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Last modified July 28 00:54 EDT 2021. Contains 346316 sequences. (Running on oeis4.)