A205258 Number of (n+2)X4 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally, and new values 0..1 introduced in row major order

1814, 26185, 379283, 5487807, 79391891, 1148637735, 16618559061, 240437007466, 3478637408972, 50328870718111, 728157294220956, 10534967761052004, 152419740740110092, 2205206312498168603, 31904888800224330056

Offset

1,1

Comments

Column 2 of A205264

Links

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

Formula

Empirical: a(n) = 12*a(n-1) +26*a(n-2) +147*a(n-3) +31*a(n-4) -1556*a(n-5) -3897*a(n-6) -651*a(n-7) +17307*a(n-8) +21426*a(n-9) -11130*a(n-10) -33322*a(n-11) -26057*a(n-12) -17028*a(n-13) +13934*a(n-14) +47659*a(n-15) +12966*a(n-16) +8775*a(n-17) -8902*a(n-18) -11055*a(n-19) +1056*a(n-20) -3955*a(n-21) +2305*a(n-22) -300*a(n-23) +322*a(n-24) -32*a(n-25) -24*a(n-26)

Example

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

Crossrefs

Sequence in context: A252808 A238141 A058954 * A255732 A338166 A353807

Adjacent sequences: A205255 A205256 A205257 * A205259 A205260 A205261

Keyword

nonn

Author

R. H. Hardin Jan 24 2012

Status

approved