A298965 Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.

4, 32, 219, 1575, 11283, 80972, 581057, 4169867, 29924442, 214748731, 1541115372, 11059607816, 79367792570, 569572322542, 4087459410676, 29333104460805, 210505091515979, 1510661567154766, 10841060204501930, 77799415112548482

Offset

1,1

Comments

Column 3 of A298970.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +3*a(n-2) -11*a(n-3) -11*a(n-4) +2*a(n-5) +19*a(n-6) -8*a(n-7) -12*a(n-8)

Example

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

Crossrefs

Cf. A298970.

Sequence in context: A098981 A120917 A305518 * A316955 A299735 A099269

Adjacent sequences: A298962 A298963 A298964 * A298966 A298967 A298968

Keyword

nonn

Author

R. H. Hardin, Jan 30 2018

Status

approved