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A299516
Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1
1, 1, 12, 5, 33, 55, 132, 272, 630, 1355, 3010, 6661, 14688, 32563, 71941, 159408, 352601, 781046, 1728906, 3829080, 8478988, 18778735, 41589469, 92113712, 204020792, 451891357, 1000927728, 2217056520, 4910855519, 10877806629
OFFSET
1,3
COMMENTS
Column 3 of A299521.
LINKS
FORMULA
Empirical: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -a(n-4) +2*a(n-6) +4*a(n-7) -a(n-8) +8*a(n-9) -3*a(n-10) -a(n-11) -a(n-12) for n>13
EXAMPLE
Some solutions for n=5
..0..0..1. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1
..1..0..1. .0..1..0. .0..0..0. .1..0..1. .1..0..1. .0..0..0. .1..1..1
..0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0. .0..0..0. .1..1..1
..0..0..1. .1..1..0. .1..1..1. .1..0..0. .0..0..1. .0..0..0. .0..1..0
CROSSREFS
Cf. A299521.
Sequence in context: A205141 A122561 A110185 * A278423 A278661 A280614
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 11 2018
STATUS
approved