A204741 Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..2 introduced in row major order

1412, 17835, 225474, 2824381, 35428257, 445314552, 5591644019, 70200382115, 881603665912, 11070867433537, 139016011247295, 1745671883517392, 21921078184891237, 275268843448870477, 3456632286008466836

Offset

1,1

Comments

Column 1 of A204745

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +18*a(n-2) +503*a(n-3) +268*a(n-4) -3470*a(n-5) -12905*a(n-6) -98008*a(n-7) +144410*a(n-8) +970413*a(n-9) +532812*a(n-10) -3157908*a(n-11) -14857036*a(n-12) -16646298*a(n-13) +77303556*a(n-14) +351340628*a(n-15) -246142300*a(n-16) -1229221768*a(n-17) -1387569480*a(n-18) +1816736040*a(n-19) +6001487120*a(n-20) +2662558800*a(n-21) +8836133792*a(n-22) -28444747200*a(n-23) -32973898528*a(n-24) -16201390432*a(n-25) +106875017792*a(n-26) -127980947904*a(n-27) +437735835136*a(n-28) -603491409408*a(n-29) +362850529280*a(n-30) +280743239680*a(n-31) -1305077383168*a(n-32) +2552785797120*a(n-33) -3235684810752*a(n-34) +1978750992384*a(n-35) -407686348800*a(n-36)

Example

Some solutions for n=3
..0..0..0....0..0..1....0..0..1....0..0..1....0..1..1....0..0..0....0..0..0
..0..1..2....0..0..1....0..2..2....1..1..1....1..2..0....0..0..1....0..1..2
..1..1..2....1..1..0....2..2..2....2..2..0....1..1..1....1..2..1....1..1..2
..1..2..2....2..2..2....1..1..0....1..2..1....2..2..0....2..1..1....2..0..2
..1..2..0....2..0..2....1..0..1....2..0..2....0..1..0....1..0..2....1..2..2

Crossrefs

Sequence in context: A235906 A364184 A204745 * A237742 A143192 A237863

Adjacent sequences: A204738 A204739 A204740 * A204742 A204743 A204744

Keyword

nonn

Author

R. H. Hardin Jan 18 2012

Status

approved