A204356 Number of (n+2)X5 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

764, 2063, 5516, 13721, 35690, 92286, 236382, 607036, 1562386, 4024090, 10362274, 26670982, 68640970, 176707668, 454941820, 1171126358, 3014574254, 7760190950, 19977148404, 51426366674, 132382169446, 340781628584, 877258120820

Offset

1,1

Comments

Column 3 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) +2*a(n-3) +17*a(n-4) -a(n-5) -a(n-6) -5*a(n-7) -58*a(n-8) +28*a(n-9) -9*a(n-10) -11*a(n-11) +84*a(n-12) -82*a(n-13) +49*a(n-14) +a(n-15) -50*a(n-16) +66*a(n-17) -52*a(n-18) +33*a(n-19) -12*a(n-20) +4*a(n-21) -4*a(n-23) for n>29

Example

Some solutions for n=3
..0..1..0..0..0....0..1..0..0..0....0..0..1..0..1....0..0..1..0..1
..1..1..0..1..0....1..0..1..1..0....0..1..1..1..0....1..1..0..0..0
..0..1..1..0..1....1..0..0..1..1....1..0..0..1..1....1..0..1..1..0
..1..0..1..1..1....1..1..0..1..0....0..1..0..0..0....0..1..0..1..1
..1..0..0..1..0....0..1..1..0..1....1..0..1..0..1....1..0..0..1..0

Crossrefs

Sequence in context: A084072 A049534 A245007 * A238920 A054468 A156395

Adjacent sequences: A204353 A204354 A204355 * A204357 A204358 A204359

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved