A298235 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

1, 13, 22, 124, 409, 1921, 8908, 41933, 204016, 988083, 4818956, 23520912, 114859013, 561215577, 2742234243, 13400786521, 65488989956, 320045756818, 1564085835402, 7643812356261, 37356003891307, 182562316287946

Offset

1,2

Comments

Column 3 of A298240.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +7*a(n-2) -32*a(n-3) -51*a(n-4) +118*a(n-5) +121*a(n-6) -249*a(n-7) -90*a(n-8) +292*a(n-9) -150*a(n-11) +2*a(n-12) +12*a(n-13) for n>15

Example

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

Crossrefs

Cf. A298240.

Sequence in context: A301788 A164409 A301962 * A111676 A372056 A363482

Adjacent sequences: A298232 A298233 A298234 * A298236 A298237 A298238

Keyword

nonn

Author

R. H. Hardin, Jan 15 2018

Status

approved