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A274750
Number of 3 X n 0..2 arrays with no element equal to any value at offset (-1,-2) (0,-1) or (-1,0) and new values introduced in order 0..2.
1
2, 9, 34, 133, 518, 2017, 7858, 30605, 119214, 464345, 1808682, 7044997, 27441030, 106885713, 416331266, 1621654589, 6316517406, 24603508041, 95833284570, 373280851061, 1453968675382, 5663362861249, 22059401583154, 85923718843693
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + 7*a(n-2) + 2*a(n-3) - 2*a(n-4).
Empirical g.f.: x*(2 + 5*x + 2*x^2 - 2*x^3) / ((1 + x)*(1 - 3*x - 4*x^2 + 2*x^3)). - Colin Barker, Jan 30 2019
EXAMPLE
Some solutions for n=4:
..0..1..0..2. .0..1..2..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
..2..0..1..0. .1..2..1..2. .1..2..1..0. .1..2..1..2. .2..0..1..2
..1..2..0..2. .2..0..2..1. .0..1..2..1. .0..1..2..0. .0..2..0..1
CROSSREFS
Row 3 of A274749.
Sequence in context: A010763 A077234 A091526 * A204444 A204430 A150937
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 04 2016
STATUS
approved