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.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A298062 A298063 A298064 * A298066 A298067 A298068

Keyword

nonn

Author

R. H. Hardin, Jan 11 2018

Status

approved