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A230727 Number of n X 5 0..5 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 6, and upper left element zero. 1
0, 8, 260, 9760, 389148, 15237056, 597115044, 23414415888, 917986434396, 35990833477072, 1411075267502276, 55323263878390080, 2169029334553784412, 85039966968695574688, 3334116217958488966052, 130718900222071304691248 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Empirical: a(n) = 37*a(n-1) + 72*a(n-2) + 990*a(n-3) - 16253*a(n-4) - 12331*a(n-5) + 83486*a(n-6) - 56928*a(n-7) for n>8.

Empirical g.f.: 4*x^2*(2 - 9*x - 109*x^2 + 347*x^3 + 2121*x^4 - 3164*x^5 + 540*x^6) / (1 - 37*x - 72*x^2 - 990*x^3 + 16253*x^4 + 12331*x^5 - 83486*x^6 + 56928*x^7). - Colin Barker, Sep 22 2018

EXAMPLE

Some solutions for n=4:

..0..1..0..5..0....0..1..2..3..4....0..1..2..3..4....0..1..2..3..2

..2..3..4..1..0....0..1..0..5..4....0..1..4..5..0....0..5..4..3..2

..2..1..2..5..2....0..5..2..3..2....0..3..2..1..0....4..0..5..4..3

..0..3..4..3..2....4..5..0..1..0....2..5..0..5..4....1..2..3..2..1

CROSSREFS

Column 5 of A230730.

Sequence in context: A221778 A172127 A230611 * A272392 A162083 A300734

Adjacent sequences:  A230724 A230725 A230726 * A230728 A230729 A230730

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 28 2013

STATUS

approved

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Last modified March 30 12:10 EDT 2020. Contains 333125 sequences. (Running on oeis4.)