A304539 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4 or 6 king-move adjacent elements, with upper left element zero.

3, 7, 9, 19, 37, 65, 129, 275, 555, 1143, 2417, 5101, 10937, 23873, 52511, 116647, 261813, 592025, 1347981, 3088537, 7111583, 16443119, 38153839, 88783305, 207079559, 483922933, 1132625887, 2654229335, 6226282429, 14617442181

Offset

1,1

Comments

Column 3 of A304544.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -8*a(n-4) +2*a(n-5) -a(n-6) -a(n-7) -9*a(n-8) +3*a(n-9) +9*a(n-10) +8*a(n-11) +a(n-12) -3*a(n-13)

Example

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

Crossrefs

Cf. A304544.

Sequence in context: A034926 A224849 A304128 * A306124 A096102 A316157

Adjacent sequences: A304536 A304537 A304538 * A304540 A304541 A304542

Keyword

nonn

Author

R. H. Hardin, May 14 2018

Status

approved