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A230611 Number of n X 5 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. 1
0, 8, 260, 7072, 186396, 4899200, 128706852, 3381000336, 88814433756, 2333033998864, 61285601758916, 1609888586400576, 42289561773667932, 1110888696290586976, 29181520062175286564, 766558446366309855152 (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) = 31*a(n-1) - 126*a(n-2) + 42*a(n-3) + 79*a(n-4) - a(n-5) + 8*a(n-6) for n>7.

Empirical g.f.: 4*x^2*(2 + 3*x + 5*x^2 - 103*x^3 + 111*x^4 - 2*x^5) / (1 - 31*x + 126*x^2 - 42*x^3 - 79*x^4 + x^5 - 8*x^6). - Colin Barker, Sep 22 2018

EXAMPLE

Some solutions for n=4:

..0..1..2..0..2....0..1..2..0..2....0..1..2..0..1....0..1..2..1..0

..0..2..1..0..2....2..0..1..2..1....0..1..0..2..1....0..0..1..2..0

..1..0..1..1..0....2..1..0..2..1....1..2..1..0..2....2..0..2..1..1

..2..2..0..2..1....1..2..1..0..2....1..2..0..1..0....2..2..0..2..1

CROSSREFS

Column 5 of A230614.

Sequence in context: A230271 A221778 A172127 * A230727 A272392 A162083

Adjacent sequences:  A230608 A230609 A230610 * A230612 A230613 A230614

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 25 2013

STATUS

approved

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Last modified September 26 23:44 EDT 2022. Contains 357051 sequences. (Running on oeis4.)