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A299549
Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1
0, 3, 9, 31, 166, 752, 3739, 18300, 90313, 446451, 2207877, 10926364, 54077370, 267676863, 1325022222, 6559112697, 32469220849, 160731379343, 795665619120, 3938773429086, 19498071214793, 96521135230826, 477807811364333
OFFSET
1,2
COMMENTS
Column 3 of A299554.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +6*a(n-2) -28*a(n-3) -27*a(n-4) +62*a(n-5) +16*a(n-6) -89*a(n-7) +49*a(n-8) +72*a(n-9) -56*a(n-10) +5*a(n-11) +10*a(n-12) -8*a(n-13) for n>15
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..1
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..0..1
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1
..1..0..1. .1..1..0. .1..1..1. .0..1..1. .1..1..1. .1..1..1. .1..1..1
..1..1..1. .1..0..0. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1
CROSSREFS
Cf. A299554.
Sequence in context: A255382 A089475 A351185 * A099999 A039749 A034538
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 12 2018
STATUS
approved