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A296968
Number of n X 2 0..1 arrays with each 1 adjacent to 2, 4 or 5 king-move neighboring 1s.
1
1, 5, 11, 21, 59, 145, 323, 793, 1939, 4561, 10939, 26425, 63107, 151057, 362923, 869609, 2083059, 4996033, 11977083, 28703897, 68813891, 164968369, 395429963, 947913481, 2272359443, 5447139489, 13057617307, 31301457785, 75034524387
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) - a(n-2) + 6*a(n-3) - 4*a(n-4) + 2*a(n-5).
Empirical g.f.: x*(1 + 3*x + 2*x^2 - 2*x^3 + 2*x^4) / (1 - 2*x + x^2 - 6*x^3 + 4*x^4 - 2*x^5). - Colin Barker, Feb 25 2019
EXAMPLE
Some solutions for n=5:
..0..0. .0..0. .0..0. .1..1. .1..0. .0..0. .0..0. .1..0. .0..0. .1..1
..0..0. .0..1. .0..0. .0..1. .1..1. .1..1. .0..0. .1..1. .0..0. .0..1
..0..0. .1..1. .1..1. .0..0. .0..0. .1..0. .1..1. .1..1. .1..0. .0..0
..1..1. .0..0. .1..0. .1..1. .1..1. .0..0. .0..1. .1..1. .1..1. .1..0
..1..0. .0..0. .0..0. .0..1. .1..0. .0..0. .1..1. .1..0. .0..0. .1..1
CROSSREFS
Column 2 of A296974.
Sequence in context: A234597 A261982 A296033 * A184552 A069097 A222548
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 22 2017
STATUS
approved