A304060 Number of nX3 0..1 arrays with every element unequal to 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

0, 5, 14, 69, 376, 1891, 9889, 51283, 265582, 1378735, 7148318, 37076755, 192302847, 997352273, 5172817910, 26828692621, 139146758064, 721683805709, 3743005199161, 19413064725327, 100685681893488, 522205367420747

Offset

1,2

Comments

Column 3 of A304065.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +14*a(n-2) +3*a(n-3) -75*a(n-4) -79*a(n-5) +61*a(n-6) +113*a(n-7) +38*a(n-8) -21*a(n-9) +5*a(n-10) +23*a(n-11) -6*a(n-12) -8*a(n-13) +4*a(n-14) for n>16

Example

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

Crossrefs

Cf. A304065.

Sequence in context: A194994 A166795 A128102 * A197901 A202764 A197876

Adjacent sequences: A304057 A304058 A304059 * A304061 A304062 A304063

Keyword

nonn

Author

R. H. Hardin, May 05 2018

Status

approved