A299516 Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

1, 1, 12, 5, 33, 55, 132, 272, 630, 1355, 3010, 6661, 14688, 32563, 71941, 159408, 352601, 781046, 1728906, 3829080, 8478988, 18778735, 41589469, 92113712, 204020792, 451891357, 1000927728, 2217056520, 4910855519, 10877806629

Offset

1,3

Comments

Column 3 of A299521.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +a(n-2) -6*a(n-3) -a(n-4) +2*a(n-6) +4*a(n-7) -a(n-8) +8*a(n-9) -3*a(n-10) -a(n-11) -a(n-12) for n>13

Example

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

Crossrefs

Cf. A299521.

Sequence in context: A205141 A122561 A110185 * A278423 A278661 A280614

Adjacent sequences: A299513 A299514 A299515 * A299517 A299518 A299519

Keyword

nonn

Author

R. H. Hardin, Feb 11 2018

Status

approved