A298289 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.

4, 13, 20, 26, 43, 72, 115, 189, 318, 526, 874, 1473, 2482, 4185, 7085, 12032, 20448, 34806, 59371, 101370, 173225, 296379, 507516, 869590, 1491114, 2558507, 4392128, 7543859, 12963607, 22286228, 38328852, 65945748, 113501565, 195419152

Offset

1,1

Comments

Column 3 of A298294.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -a(n-2) +2*a(n-3) -11*a(n-4) +4*a(n-6) +16*a(n-7) +5*a(n-8) -5*a(n-9) -14*a(n-10) -7*a(n-11) -6*a(n-12) +3*a(n-14) +8*a(n-15) +6*a(n-16) +4*a(n-17) for n>19

Example

Some solutions for n=7
..0..1..1. .0..1..0. .0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..0..0
..1..0..0. .1..0..0. .1..0..1. .0..1..1. .1..0..1. .0..1..0. .0..1..0
..0..0..1. .0..0..0. .0..1..0. .0..0..0. .1..0..0. .1..1..1. .0..0..0
..1..1..0. .0..0..1. .1..0..1. .1..1..0. .1..0..0. .1..1..1. .1..1..1
..0..1..1. .0..1..0. .0..1..0. .1..0..0. .1..0..1. .0..1..0. .1..0..1
..1..0..0. .0..0..1. .1..0..1. .1..1..1. .0..1..0. .1..0..0. .1..1..1
..0..1..0. .1..1..0. .0..0..1. .0..0..1. .0..1..1. .0..1..1. .0..0..0

Crossrefs

Cf. A298294.

Sequence in context: A241264 A066993 A297884 * A298489 A299182 A030744

Adjacent sequences: A298286 A298287 A298288 * A298290 A298291 A298292

Keyword

nonn

Author

R. H. Hardin, Jan 16 2018

Status

approved