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A302158 Number of nX3 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
3, 9, 7, 17, 31, 57, 111, 265, 527, 1065, 2431, 4953, 10095, 22537, 46527, 95417, 209679, 436585, 900191, 1955353, 4093999, 8480457, 18265087, 38377337, 79802575, 170819881, 359693471, 750304217, 1598909295, 3371088777, 7049660735 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 3 of A302163.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +8*a(n-3) -6*a(n-4) -4*a(n-6) +4*a(n-7) for n>11
EXAMPLE
Some solutions for n=5
..0..1..0. .0..1..0. .0..1..0. .0..0..1. .0..1..0. .0..1..0. .0..1..1
..0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .1..1..0. .1..0..1
..0..1..0. .0..1..0. .1..1..0. .0..1..0. .0..1..1. .0..1..0. .1..0..1
..1..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .0..1..0. .1..0..1
..0..1..0. .0..1..0. .0..1..0. .0..0..1. .0..1..0. .0..0..1. .0..1..1
CROSSREFS
Cf. A302163.
Sequence in context: A214661 A178414 A220654 * A337974 A137299 A329238
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 02 2018
STATUS
approved

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Last modified June 24 00:02 EDT 2024. Contains 373661 sequences. (Running on oeis4.)