A316513 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 7 or 8 king-move adjacent elements, with upper left element zero.

4, 21, 28, 75, 174, 414, 1002, 2398, 5743, 13785, 33053, 79248, 190054, 455751, 1092871, 2620730, 6284531, 15070301, 36138673, 86660727, 207812777, 498336020, 1195012127, 2865644552, 6871828916, 16478677644, 39515945239, 94759419700

Offset

1,1

Comments

Column 3 of A316518.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +3*a(n-3) +a(n-4) -a(n-5) for n>8

Example

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

Crossrefs

Cf. A316518.

Sequence in context: A356357 A276400 A304770 * A273208 A273270 A273246

Adjacent sequences: A316510 A316511 A316512 * A316514 A316515 A316516

Keyword

nonn

Author

R. H. Hardin, Jul 05 2018

Status

approved