A304297 Number of nX3 0..1 arrays with every element unequal to 1, 2, 5 or 8 king-move adjacent elements, with upper left element zero.

1, 2, 3, 5, 6, 14, 22, 33, 57, 97, 159, 255, 432, 724, 1171, 1951, 3254, 5363, 8858, 14694, 24381, 40260, 66642, 110538, 182870, 302621, 501272, 830095, 1374018, 2274695, 3767129, 6236893, 10324974, 17096385, 28307135, 46865638, 77594124, 128475252

Offset

1,2

Comments

Column 3 of A304302.

Links

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

Formula

Empirical: a(n) = a(n-2) +3*a(n-3) +2*a(n-4) -4*a(n-6) -2*a(n-7) -a(n-8) -2*a(n-9)

Example

All solutions for n=5
..0..0..0. .0..1..0. .0..0..0. .0..1..0. .0..1..0. .0..0..0
..0..1..0. .0..0..0. .1..0..1. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .0..1..0. .1..0..1. .0..1..0
..0..1..0. .0..1..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0

Crossrefs

Cf. A304302.

Sequence in context: A253647 A131825 A289124 * A249752 A222313 A355483

Adjacent sequences: A304294 A304295 A304296 * A304298 A304299 A304300

Keyword

nonn

Author

R. H. Hardin, May 10 2018

Status

approved