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A295937
Number of n X 2 0..1 arrays with each 1 adjacent to 1 or 3 king-move neighboring 1s.
1
2, 8, 15, 33, 104, 228, 529, 1469, 3442, 8212, 21431, 51717, 125296, 317400, 775809, 1895433, 4734066, 11634128, 28553071, 70839225, 174478216, 429240572, 1061586753, 2617025573, 6446295426, 15919369724, 39257673143, 96762290109
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + a(n-2) + 9*a(n-3) - 4*a(n-4) - 4*a(n-5) - 4*a(n-6).
Empirical g.f.: x*(2 + 6*x + 5*x^2 - 8*x^3 - 8*x^4 - 4*x^5) / (1 - x - x^2 - 9*x^3 + 4*x^4 + 4*x^5 + 4*x^6). - Colin Barker, Feb 22 2019
EXAMPLE
Some solutions for n=7:
..0..0. .0..0. .1..0. .0..0. .1..1. .1..1. .0..0. .1..1. .1..1. .1..1
..1..0. .1..1. .0..1. .0..1. .0..0. .0..0. .0..0. .0..0. .1..1. .0..0
..1..0. .0..0. .0..0. .0..1. .1..1. .1..0. .1..0. .0..0. .0..0. .1..0
..1..1. .0..0. .0..1. .0..0. .1..1. .0..1. .1..0. .1..1. .0..0. .1..0
..1..0. .0..0. .0..1. .0..0. .0..0. .0..0. .0..0. .0..0. .0..0. .1..1
..1..0. .0..0. .0..0. .0..1. .0..1. .0..1. .0..1. .1..1. .0..1. .1..0
..0..0. .1..1. .1..1. .1..0. .0..1. .0..1. .0..1. .0..0. .0..1. .1..0
CROSSREFS
Column 2 of A295943.
Sequence in context: A095298 A297734 A100596 * A305674 A082638 A077388
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 30 2017
STATUS
approved