A298707 Number of nX3 0..1 arrays with every element equal to 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

0, 3, 0, 2, 6, 20, 22, 92, 206, 460, 1176, 2966, 6898, 17232, 42850, 103328, 254344, 630010, 1536786, 3773848, 9309476, 22822020, 56028990, 137918372, 338696066, 831789610, 2045396676, 5025784292, 12346278992, 30346864108, 74575773746

Offset

1,2

Comments

Column 3 of A298712.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +12*a(n-3) -5*a(n-4) -23*a(n-5) -50*a(n-6) -2*a(n-7) +70*a(n-8) +84*a(n-9) +33*a(n-10) -86*a(n-11) -24*a(n-12) +2*a(n-13) +44*a(n-14) -14*a(n-15) -8*a(n-17) for n>18

Example

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

Crossrefs

Cf. A298712.

Sequence in context: A048733 A309973 A298058 * A274417 A208764 A209129

Adjacent sequences: A298704 A298705 A298706 * A298708 A298709 A298710

Keyword

nonn

Author

R. H. Hardin, Jan 25 2018

Status

approved