A304129 Number of nX4 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero.

5, 17, 19, 44, 80, 140, 244, 436, 800, 1444, 2584, 4630, 8328, 15032, 27058, 48590, 87400, 157336, 283092, 509306, 916198, 1648190, 2965634, 5335868, 9599288, 17270130, 31071812, 55902190, 100575652, 180948570, 325547770, 585704612

Offset

1,1

Comments

Column 4 of A304133.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-3) +a(n-5) -a(n-6) -5*a(n-7) -2*a(n-8) +2*a(n-10) for n>13

Example

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

Crossrefs

Cf. A304133.

Sequence in context: A226627 A124873 A129745 * A038964 A019401 A217079

Adjacent sequences: A304126 A304127 A304128 * A304130 A304131 A304132

Keyword

nonn

Author

R. H. Hardin, May 07 2018

Status

approved