A298449 Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

0, 4, 0, 11, 26, 46, 204, 696, 1493, 5880, 18994, 49941, 174020, 552946, 1590917, 5237693, 16486804, 49511202, 158599036, 497008665, 1523240497, 4815373712, 15059431049, 46604564297, 146391271270, 457401829113, 1422103399094

Offset

1,2

Comments

Column 3 of A298454.

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) +21*a(n-3) -16*a(n-4) -60*a(n-5) -83*a(n-6) +55*a(n-7) +144*a(n-8) +125*a(n-9) +67*a(n-10) -98*a(n-11) -105*a(n-12) -92*a(n-13) +37*a(n-14) +11*a(n-15) -7*a(n-16) +3*a(n-17) for n>18

Example

Some solutions for n=7
..0..1..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1
..0..1..1. .0..1..1. .0..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..1
..1..1..1. .1..1..1. .1..0..1. .1..1..0. .1..1..1. .0..1..1. .1..0..0
..1..0..0. .1..0..0. .1..0..1. .0..0..0. .1..1..0. .0..1..1. .1..0..0
..1..0..0. .1..0..0. .1..1..1. .0..0..0. .1..1..0. .0..0..0. .0..0..0
..0..0..1. .1..1..1. .1..1..0. .1..0..1. .0..0..0. .0..1..1. .1..0..1
..0..0..1. .1..1..1. .1..1..0. .1..0..1. .0..0..0. .0..1..1. .1..0..1

Crossrefs

Cf. A298454.

Sequence in context: A279432 A019127 A019207 * A298056 A298706 A369911

Adjacent sequences: A298446 A298447 A298448 * A298450 A298451 A298452

Keyword

nonn

Author

R. H. Hardin, Jan 19 2018

Status

approved