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A204357 Number of (n+2)X6 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..1 introduced in row major order 1
2399, 5812, 13721, 29977, 71465, 167480, 383714, 876140, 2033788, 4673032, 10736162, 24701276, 57041826, 131340438, 302246188, 695792018, 1603376912, 3692734666, 8503229146, 19580355046, 45098375114, 103863371934, 239194175448 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A204361

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +15*a(n-4) -5*a(n-5) -7*a(n-6) +10*a(n-7) -59*a(n-8) +8*a(n-9) +45*a(n-10) -48*a(n-11) +83*a(n-12) +13*a(n-13) -81*a(n-14) +56*a(n-15) -59*a(n-16) -24*a(n-17) +68*a(n-18) -21*a(n-19) +13*a(n-20) +9*a(n-21) -18*a(n-22) +a(n-23) for n>31

EXAMPLE

Some solutions for n=3

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

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

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

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

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

CROSSREFS

Sequence in context: A323341 A108055 A286342 * A043420 A233880 A234453

Adjacent sequences:  A204354 A204355 A204356 * A204358 A204359 A204360

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 14 2012

STATUS

approved

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Last modified May 18 21:30 EDT 2022. Contains 353825 sequences. (Running on oeis4.)