A304151 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

0, 5, 4, 42, 130, 464, 1722, 6378, 22939, 84079, 306987, 1119981, 4087469, 14922974, 54464744, 198801521, 725648052, 2648666277, 9667805493, 35288299004, 128804934449, 470147769118, 1716075418498, 6263806496746, 22863371318814

Offset

1,2

Comments

Column 3 of A304156.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +4*a(n-2) -14*a(n-4) -35*a(n-5) +11*a(n-6) +41*a(n-7) +53*a(n-8) +3*a(n-9) -116*a(n-10) -148*a(n-11) +62*a(n-12) +213*a(n-13) +137*a(n-14) +57*a(n-15) +18*a(n-16) +6*a(n-17) +2*a(n-18) for n>19

Example

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

Crossrefs

Cf. A304156.

Sequence in context: A093399 A123233 A189748 * A223527 A262421 A305170

Adjacent sequences: A304148 A304149 A304150 * A304152 A304153 A304154

Keyword

nonn

Author

R. H. Hardin, May 07 2018

Status

approved