A230612 Number of n X 6 0..2 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero.

0, 30, 2358, 149664, 9244260, 570014364, 35145166536, 2166884610178, 133599701455066, 8237117244715336, 507861167171544622, 31312285224055745412, 1930565417393375534896, 119029409843545688217042

Offset

1,2

Comments

Column 6 of A230614.

Links

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

Formula

Empirical: a(n) = 90*a(n-1) -2087*a(n-2) +23650*a(n-3) -186609*a(n-4) +1238997*a(n-5) -5797034*a(n-6) +14474146*a(n-7) -21672514*a(n-8) +76834323*a(n-9) -197364772*a(n-10) +62281406*a(n-11) +78017941*a(n-12) -11809013*a(n-13) -84977929*a(n-14) +101237479*a(n-15) -26268249*a(n-16) +11138532*a(n-17) -1929904*a(n-18) +758920*a(n-19) -244648*a(n-20) +26736*a(n-21) -900*a(n-22) for n>23.

Example

Some solutions for n=4:
..0..1..0..2..0..1....0..1..0..2..1..0....0..1..1..2..0..1....0..1..1..2..0..2
..2..0..1..0..2..1....2..0..1..2..1..0....2..0..0..1..2..1....2..0..1..1..1..0
..2..1..1..1..2..0....2..2..0..1..0..2....0..1..2..0..0..2....0..1..2..0..2..2
..0..2..0..2..1..0....1..0..2..0..1..0....0..2..1..2..1..0....0..2..1..1..0..2

Crossrefs

Sequence in context: A054647 A061162 A230272 * A138916 A266041 A091544

Adjacent sequences: A230609 A230610 A230611 * A230613 A230614 A230615

Keyword

nonn

Author

R. H. Hardin, Oct 25 2013

Status

approved