login
A298065
Number of nX3 0..1 arrays with every element equal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
1
0, 2, 4, 13, 63, 253, 953, 3802, 15108, 59873, 236880, 937385, 3712010, 14698259, 58191701, 230387790, 912154985, 3611432057, 14298421381, 56610374096, 224132267313, 887386743512, 3513350051164, 13910087469748, 55072945693414
OFFSET
1,2
COMMENTS
Column 3 of A298070.
LINKS
FORMULA
Empirical: a(n) = 4*a(n-1) +a(n-3) -2*a(n-4) -9*a(n-5) -43*a(n-6) +8*a(n-7) +97*a(n-8) +27*a(n-9) -91*a(n-10) -37*a(n-11) +15*a(n-12) -14*a(n-13) +18*a(n-14) +10*a(n-15) -a(n-16) +2*a(n-17)
EXAMPLE
Some solutions for n=7
..0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..1. .0..1..1. .0..1..1
..0..1..0. .0..1..0. .0..1..1. .0..1..0. .0..0..1. .0..0..1. .0..0..1
..1..1..1. .0..1..1. .1..0..0. .0..1..1. .0..1..1. .1..0..0. .0..1..1
..0..0..1. .0..1..1. .1..0..0. .0..1..0. .0..0..1. .1..1..1. .1..0..1
..0..0..1. .0..0..0. .1..1..0. .0..0..0. .0..1..1. .1..1..1. .1..0..0
..1..1..0. .1..0..1. .1..0..0. .0..1..0. .0..1..0. .1..0..0. .1..0..0
..1..0..0. .1..1..1. .1..1..0. .1..1..1. .0..0..0. .1..1..0. .1..1..0
CROSSREFS
Cf. A298070.
Sequence in context: A297861 A298128 A132786 * A298714 A306445 A216670
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 11 2018
STATUS
approved