A316690 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

16, 8, 21, 44, 88, 359, 1125, 3117, 10022, 31545, 95424, 296211, 920485, 2836189, 8769823, 27145969, 83899059, 259392614, 802225003, 2480455071, 7669523490, 23715722335, 73331519730, 226746858798, 701128606584, 2167967516063

Offset

1,1

Comments

Column 5 of A316693.

Links

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

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +12*a(n-3) +2*a(n-4) -9*a(n-5) -27*a(n-6) -6*a(n-7) for n>11

Example

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

Crossrefs

Cf. A316693.

Sequence in context: A305037 A083536 A305583 * A258160 A040243 A299584

Adjacent sequences: A316687 A316688 A316689 * A316691 A316692 A316693

Keyword

nonn

Author

R. H. Hardin, Jul 10 2018

Status

approved