login
A299576
Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.
1
1, 1, 10, 10, 27, 63, 115, 267, 569, 1193, 2587, 5521, 11791, 25273, 54049, 115633, 247475, 529485, 1132947, 2424265, 5187219, 11099285, 23749619, 50817867, 108736971, 232668795, 497850429, 1065270295, 2279401223, 4877325533
OFFSET
1,3
COMMENTS
Column 3 of A299581.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +a(n-2) +a(n-3) -4*a(n-4) -2*a(n-5) -2*a(n-6) +a(n-9) for n>13
EXAMPLE
Some solutions for n=5
..0..1..1. .0..0..0. .0..0..1. .0..1..1. .0..0..0. .0..0..0. .0..0..1
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .1..1..1
..0..0..0. .0..0..0. .0..0..0. .1..1..0. .0..1..1. .1..1..1. .1..1..1
CROSSREFS
Cf. A299581.
Sequence in context: A344104 A200984 A361037 * A185993 A109051 A371958
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 13 2018
STATUS
approved