A299549 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

0, 3, 9, 31, 166, 752, 3739, 18300, 90313, 446451, 2207877, 10926364, 54077370, 267676863, 1325022222, 6559112697, 32469220849, 160731379343, 795665619120, 3938773429086, 19498071214793, 96521135230826, 477807811364333

Offset

1,2

Comments

Column 3 of A299554.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +6*a(n-2) -28*a(n-3) -27*a(n-4) +62*a(n-5) +16*a(n-6) -89*a(n-7) +49*a(n-8) +72*a(n-9) -56*a(n-10) +5*a(n-11) +10*a(n-12) -8*a(n-13) for n>15

Example

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

Crossrefs

Cf. A299554.

Sequence in context: A255382 A089475 A351185 * A099999 A039749 A034538

Adjacent sequences: A299546 A299547 A299548 * A299550 A299551 A299552

Keyword

nonn

Author

R. H. Hardin, Feb 12 2018

Status

approved