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A299816
Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
1
1, 13, 39, 202, 894, 4507, 22684, 116651, 605727, 3159382, 16537678, 86697810, 454970673, 2388855177, 12546612125, 65907887547, 346249228930, 1819128113520, 9557636406332, 50216318435526, 263841572707504, 1386257187235490
OFFSET
1,2
COMMENTS
Column 3 of A299821.
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) +4*a(n-2) -39*a(n-3) -35*a(n-4) +109*a(n-5) +37*a(n-6) -129*a(n-7) +69*a(n-8) +95*a(n-9) -110*a(n-10) +6*a(n-11) -20*a(n-12) -28*a(n-13) +6*a(n-14) for n>16
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..1..1. .0..0..0. .0..0..0. .0..0..0
..0..0..1. .0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..0. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .1..1..1. .0..0..0
..1..1..1. .0..0..0. .0..1..1. .1..1..1. .0..1..1. .1..1..1. .1..1..1
..1..1..1. .0..0..0. .1..1..0. .1..1..1. .1..1..1. .1..1..1. .0..1..1
CROSSREFS
Cf. A299821.
Sequence in context: A152741 A168235 A258597 * A041324 A220083 A041326
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 19 2018
STATUS
approved