A298662 Number of nX3 0..1 arrays with every element equal to 0, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

1, 0, 3, 1, 5, 8, 7, 25, 25, 58, 95, 155, 299, 494, 905, 1623, 2867, 5260, 9421, 17149, 31225, 56740, 103795, 189417, 346621, 634790, 1162643, 2132211, 3910471, 7175862, 13172677, 24185043, 44417767, 81586900, 149883961, 275388205, 506024365

Offset

1,3

Comments

Column 3 of A298667.

Links

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

Formula

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

Example

Some solutions for n=8
..0..1..0. .0..1..1. .0..1..0. .0..1..0. .0..1..1. .0..0..1. .0..1..0
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1
..1..1..1. .1..0..1. .0..1..0. .0..1..0. .1..0..1. .0..1..0. .1..1..1
..1..0..0. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .0..0..1
..1..0..0. .0..1..1. .0..1..0. .1..1..1. .1..1..0. .0..0..0. .0..0..1
..1..1..1. .1..1..0. .1..1..1. .1..0..1. .0..1..1. .0..1..0. .1..1..1
..1..1..1. .1..1..1. .1..1..1. .1..1..1. .1..1..1. .0..0..0. .1..1..1
..0..1..0. .0..1..1. .0..1..0. .1..1..0. .1..1..0. .1..0..0. .0..1..0

Crossrefs

Cf. A298667.

Sequence in context: A124420 A176105 A094353 * A306780 A209996 A340804

Adjacent sequences: A298659 A298660 A298661 * A298663 A298664 A298665

Keyword

nonn

Author

R. H. Hardin, Jan 24 2018

Status

approved