A305525 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

4, 30, 161, 880, 4779, 26000, 141474, 769617, 4187055, 22779608, 123930190, 674233423, 3668120119, 19956134787, 108569904387, 590666693724, 3213479157579, 17482699850936, 95113358094319, 517457311408764

Offset

1,1

Comments

Column 3 of A305530.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +2*a(n-2) +10*a(n-3) -44*a(n-4) +4*a(n-5) +18*a(n-6) +2*a(n-7) -26*a(n-8) -27*a(n-9) -12*a(n-10) -3*a(n-11)

Example

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

Crossrefs

Cf. A305530.

Sequence in context: A305764 A317113 A123351 * A316999 A217213 A119697

Adjacent sequences: A305522 A305523 A305524 * A305526 A305527 A305528

Keyword

nonn

Author

R. H. Hardin, Jun 04 2018

Status

approved