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A299663
Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
2
4, 31, 179, 1080, 6585, 40023, 243312, 1479656, 8997567, 54712960, 332705597, 2023155240, 12302638210, 74811344202, 454921691740, 2766341737943, 16821898891161, 102292597556417, 622032957080238, 3782531767515293
OFFSET
1,1
COMMENTS
Column 3 of A299668.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +6*a(n-2) +10*a(n-3) -29*a(n-4) -59*a(n-5) -27*a(n-6) -46*a(n-7) +21*a(n-8) -8*a(n-9) +52*a(n-10) -16*a(n-11) for n>12
EXAMPLE
Some solutions for n=5
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..1. .0..1..0. .0..1..1
..0..0..1. .0..1..0. .0..1..0. .0..1..0. .1..1..1. .0..0..0. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .0..0..0. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..0..1. .1..0..1. .0..1..0
..1..0..1. .0..1..0. .0..1..1. .1..0..1. .1..0..0. .0..0..0. .0..0..1
CROSSREFS
Cf. A299668.
Sequence in context: A270670 A270669 A298996 * A005216 A124033 A014537
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 15 2018
STATUS
approved