A299223 Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 17, 113, 628, 3669, 21792, 128610, 758715, 4478515, 26434415, 156022822, 920895737, 5435426140, 32081622538, 189355989729, 1117639651783, 6596666844249, 38935638345812, 229810595428761, 1356415664939788

Offset

1,2

Comments

Column 3 of A299228.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +3*a(n-2) +16*a(n-3) -7*a(n-4) -32*a(n-5) -25*a(n-6) -62*a(n-7) +44*a(n-8) -57*a(n-9) -12*a(n-10) -74*a(n-11) +46*a(n-12) -20*a(n-13) -16*a(n-14) for n>16

Example

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

Crossrefs

Cf. A299228.

Sequence in context: A105127 A142403 A298332 * A197360 A367940 A289472

Adjacent sequences: A299220 A299221 A299222 * A299224 A299225 A299226

Keyword

nonn

Author

R. H. Hardin, Feb 05 2018

Status

approved