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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 1
1412, 17835, 225474, 2824381, 35428257, 445314552, 5591644019, 70200382115, 881603665912, 11070867433537, 139016011247295, 1745671883517392, 21921078184891237, 275268843448870477, 3456632286008466836 (list; graph; refs; listen; history; text; internal format)
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: A187957 A235906 A204745 * A237742 A143192 A237863

Adjacent sequences:  A204738 A204739 A204740 * A204742 A204743 A204744

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 18 2012

STATUS

approved

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Last modified October 21 08:47 EDT 2019. Contains 328292 sequences. (Running on oeis4.)