A300367 Number of nX3 0..1 arrays with every element equal to 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

0, 1, 0, 3, 3, 8, 16, 32, 70, 135, 293, 585, 1221, 2496, 5156, 10609, 21818, 44955, 92476, 190459, 391929, 806935, 1660946, 3419147, 7038323, 14488296, 29824518, 61393333, 126379174, 260151058, 535522942, 1102374986, 2269243610, 4671246404

Offset

1,4

Comments

Column 3 of A300372.

Links

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

Formula

Empirical: a(n) = a(n-2) +2*a(n-3) +5*a(n-4) +6*a(n-5) +4*a(n-6) +6*a(n-7) +a(n-8) -a(n-12) +2*a(n-13) -a(n-14)

Example

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

Crossrefs

Cf. A300372.

Sequence in context: A219349 A208964 A104864 * A296106 A329094 A327327

Adjacent sequences: A300364 A300365 A300366 * A300368 A300369 A300370

Keyword

nonn

Author

R. H. Hardin, Mar 04 2018

Status

approved