A204360 Number of (n+2)X9 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

75324, 137407, 236382, 383714, 901622, 2225410, 5145580, 11331092, 24907494, 56952320, 131317336, 300971450, 680102200, 1545164810, 3522195194, 8043779858, 18291387806, 41624381340, 94766666314, 215979172968, 491665678228

Offset

1,1

Comments

Column 7 of A204361

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -4*a(n-2) +5*a(n-3) +9*a(n-4) -31*a(n-5) +49*a(n-6) -59*a(n-7) +15*a(n-8) +54*a(n-9) -102*a(n-10) +110*a(n-11) -52*a(n-12) -25*a(n-13) +74*a(n-14) -77*a(n-15) +38*a(n-16) +2*a(n-17) -18*a(n-18) +17*a(n-19) -8*a(n-20) +a(n-21) for n>32

Example

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

Crossrefs

Sequence in context: A182809 A182393 A347848 * A236817 A140940 A204865

Adjacent sequences: A204357 A204358 A204359 * A204361 A204362 A204363

Keyword

nonn

Author

R. H. Hardin Jan 14 2012

Status

approved