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A232303 Number of n X 2 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, vertically or antidiagonally. 1
3, 37, 257, 1915, 14223, 105411, 781873, 5798587, 43004317, 318935945, 2365343683, 17542244471, 130099628443, 964865884537, 7155794283827, 53069957831125, 393585996554193, 2918976065097931, 21648181955586463, 160550745032206387 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) + 9*a(n-2) + 11*a(n-3) - a(n-4) + 16*a(n-5).

Empirical g.f.: x*(3 + 19*x + 8*x^2 + 7*x^3 + 16*x^4) / (1 - 6*x - 9*x^2 - 11*x^3 + x^4 - 16*x^5). - Colin Barker, Oct 04 2018

EXAMPLE

Some solutions for n=6:

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

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

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

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

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

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

CROSSREFS

Column 2 of A232309.

Sequence in context: A106995 A120076 A119938 * A196978 A197163 A326246

Adjacent sequences:  A232300 A232301 A232302 * A232304 A232305 A232306

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 22 2013

STATUS

approved

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Last modified October 20 05:54 EDT 2021. Contains 348099 sequences. (Running on oeis4.)