A299460 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

1, 18, 57, 226, 861, 3432, 13268, 51790, 202533, 791520, 3091948, 12082943, 47217580, 184509929, 721007054, 2817499893, 11009995373, 43023947508, 168125545744, 656987671438, 2567324064308, 10032384770569, 39203756299445

Offset

1,2

Comments

Column 3 of A299465.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -4*a(n-2) +5*a(n-3) -24*a(n-4) -10*a(n-5) +39*a(n-6) +23*a(n-7) +35*a(n-8) -161*a(n-9) -15*a(n-10) +115*a(n-11) +360*a(n-12) -23*a(n-13) -236*a(n-14) -149*a(n-15) +54*a(n-16) +33*a(n-17) -36*a(n-18) -6*a(n-19) +4*a(n-20) for n>21

Example

Some solutions for n=6
..0..1..1. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..0
..0..0..0. .1..1..1. .1..1..1. .0..0..0. .1..1..1. .0..0..0. .1..0..0
..1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .1..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..0. .0..0..0
..1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .1..1..1. .0..0..0
..1..1..1. .0..1..1. .0..0..0. .0..0..0. .1..1..1. .0..0..1. .0..0..0

Crossrefs

Cf. A299465.

Sequence in context: A297946 A298384 A298765 * A155155 A048356 A244806

Adjacent sequences: A299457 A299458 A299459 * A299461 A299462 A299463

Keyword

nonn

Author

R. H. Hardin, Feb 10 2018

Status

approved