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A269036
Number of 2 X n 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
1
0, 24, 48, 216, 672, 2208, 6912, 21408, 65280, 196992, 589056, 1748352, 5156352, 15124992, 44156928, 128383488, 371908608, 1073879040, 3091820544, 8878479360, 25435250688, 72710922240, 207448571904, 590798364672, 1679765078016
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) - 8*a(n-3) - 4*a(n-4).
Empirical g.f.: 24*x^2*(1 - x)^2 / (1 - 2*x - 2*x^2)^2. - Colin Barker, Jan 18 2019
EXAMPLE
Some solutions for n=4:
..2..1..0..0. .2..2..2..1. .0..2..2..2. .2..2..1..2. .0..1..0..1
..2..1..2..1. .2..2..1..2. .2..1..2..1. .1..2..2..1. .2..0..0..1
CROSSREFS
Row 2 of A269035.
Sequence in context: A292834 A362941 A030021 * A268486 A288460 A352699
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 18 2016
STATUS
approved