A298549 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 7, 4, 14, 16, 51, 104, 262, 689, 1784, 4767, 12968, 35155, 96254, 264440, 726815, 2002456, 5521018, 15227274, 42020683, 115979875, 320151219, 883859925, 2440243349, 6737508423, 18602828041, 51364692406, 141825760260, 391605586640

Offset

1,2

Comments

Column 3 of A298554.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) -a(n-2) -7*a(n-3) -5*a(n-4) +13*a(n-5) +19*a(n-6) -27*a(n-7) +a(n-8) +3*a(n-9) -55*a(n-10) +37*a(n-11) +55*a(n-12) -23*a(n-13) -a(n-14) +9*a(n-15) -16*a(n-16) -11*a(n-17) +4*a(n-18) +2*a(n-19) for n>20

Example

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

Crossrefs

Cf. A298554.

Sequence in context: A070406 A323997 A297938 * A279806 A181138 A279942

Adjacent sequences: A298546 A298547 A298548 * A298550 A298551 A298552

Keyword

nonn

Author

R. H. Hardin, Jan 21 2018

Status

approved