A305582 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 7 or 8 king-move adjacent elements, with upper left element zero.

8, 5, 8, 15, 38, 102, 247, 617, 1559, 3892, 9739, 24416, 61132, 153073, 383397, 960157, 2404528, 6021899, 15081066, 37768418, 94586143, 236878625, 593231091, 1485669328, 3720663535, 9317911688, 23335483576, 58440647945, 146356910517

Offset

1,1

Comments

Column 4 of A305586.

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +5*a(n-3) -2*a(n-5) -4*a(n-6) for n>8

Example

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

Crossrefs

Cf. A305586.

Sequence in context: A198136 A328942 A308743 * A144454 A074071 A100126

Adjacent sequences: A305579 A305580 A305581 * A305583 A305584 A305585

Keyword

nonn

Author

R. H. Hardin, Jun 05 2018

Status

approved