A316735 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

1, 14, 23, 36, 210, 509, 1219, 4537, 12446, 34074, 107898, 310388, 888841, 2671672, 7794702, 22673135, 67020720, 196302530, 574105870, 1687995611, 4949193929, 14501512606, 42565223865, 124832600401, 366003755322, 1073726129016

Offset

1,2

Comments

Column 3 of A316740.

Links

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

Formula

Empirical: a(n) = a(n-1) +4*a(n-2) +12*a(n-3) -6*a(n-4) -36*a(n-5) -28*a(n-6) +a(n-7) +42*a(n-8) +15*a(n-9) +12*a(n-10) -2*a(n-11) -4*a(n-12) -16*a(n-13) -8*a(n-14) for n>16

Example

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

Crossrefs

Cf. A316740.

Sequence in context: A184220 A373647 A026065 * A010922 A010902 A010923

Adjacent sequences: A316732 A316733 A316734 * A316736 A316737 A316738

Keyword

nonn

Author

R. H. Hardin, Jul 11 2018

Status

approved