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A275185
Number of 5 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2.
1
8, 21, 85, 353, 1465, 6081, 25241, 104769, 434873, 1805057, 7492377, 31099137, 129085369, 535803713, 2223998105, 9231305153, 38317026745, 159045174401, 660159977241, 2740172389249, 11373826014393, 47210138571457
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + 7*a(n-2) + 8*a(n-3) for n>5.
Empirical g.f.: x*(8 + 5*x - 13*x^2 - 28*x^3 - 4*x^4) / (1 - 2*x - 7*x^2 - 8*x^3). - Colin Barker, Feb 01 2019
EXAMPLE
Some solutions for n=4:
..0..0..0..1. .0..0..0..1. .0..1..1..1. .0..1..1..1. .0..0..0..1
..2..2..2..2. .1..2..2..0. .2..0..0..0. .2..2..0..0. .1..2..2..0
..1..1..1..1. .0..1..1..2. .1..1..2..2. .1..1..2..2. .0..1..1..2
..0..0..0..0. .2..2..0..0. .0..0..1..1. .0..0..0..1. .2..0..0..0
..2..2..2..2. .0..1..2..2. .1..2..2..0. .2..2..2..0. .1..2..2..2
CROSSREFS
Row 5 of A275183.
Sequence in context: A232049 A225658 A226313 * A264238 A188700 A054855
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 19 2016
STATUS
approved