A299076 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero.

4, 31, 163, 927, 5331, 30535, 175286, 1006611, 5780036, 33191586, 190603429, 1094541845, 6285428287, 36094210900, 207271793585, 1190262866608, 6835110967356, 39250776619893, 225398457372461, 1294355653107337

Offset

1,1

Comments

Column 3 of A299081.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +4*a(n-2) +7*a(n-3) -26*a(n-4) -28*a(n-5) -18*a(n-6) -16*a(n-7) +12*a(n-8) +8*a(n-9) +16*a(n-10) for n>11

Example

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

Crossrefs

Cf. A299081.

Sequence in context: A263763 A179562 A281832 * A270670 A270669 A298996

Adjacent sequences: A299073 A299074 A299075 * A299077 A299078 A299079

Keyword

nonn

Author

R. H. Hardin, Feb 02 2018

Status

approved