A299597 Number of nX3 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

0, 3, 9, 27, 147, 643, 3051, 14539, 69087, 330659, 1581181, 7568599, 36237471, 173510451, 830875967, 3978809357, 19053619021, 91244122317, 436951789203, 2092488030843, 10020577253545, 47986897587643, 229801409544101

Offset

1,2

Comments

Column 3 of A299602.

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) -31*a(n-3) -35*a(n-4) +102*a(n-5) +81*a(n-6) -227*a(n-7) -101*a(n-8) +221*a(n-9) +74*a(n-10) -34*a(n-11) -2*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..1. .0..0..0. .0..0..0
..0..0..0. .0..0..0. .0..0..0. .0..0..0. .0..1..1. .1..0..1. .0..0..0
..0..0..0. .1..1..1. .0..0..0. .0..0..0. .1..1..1. .1..1..1. .0..0..0
..0..0..0. .1..1..1. .0..0..1. .1..0..0. .1..1..1. .1..1..1. .0..1..0
..0..0..0. .1..1..1. .0..1..1. .1..1..0. .1..1..1. .1..1..1. .1..1..1

Crossrefs

Cf. A299602.

Sequence in context: A254334 A375093 A028855 * A143014 A202907 A032261

Adjacent sequences: A299594 A299595 A299596 * A299598 A299599 A299600

Keyword

nonn

Author

R. H. Hardin, Feb 14 2018

Status

approved