A318541 Number of nX4 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

5, 5, 13, 31, 78, 207, 516, 1288, 3270, 8271, 20866, 52679, 133064, 336062, 848616, 2143101, 5412264, 13667874, 34516655, 87168177, 220132818, 555919912, 1403912579, 3545419471, 8953548234, 22611157039, 57101877461, 144204222586

Offset

1,1

Comments

Column 4 of A318545.

Links

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

Formula

Empirical: a(n) = a(n-1) +7*a(n-3) +3*a(n-4) +10*a(n-5) -a(n-6) +4*a(n-7) -6*a(n-8) -a(n-9) -a(n-10) -a(n-12) +a(n-13) for n>14

Example

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

Crossrefs

Cf. A318545.

Sequence in context: A352209 A171663 A126439 * A076903 A192987 A252768

Adjacent sequences: A318538 A318539 A318540 * A318542 A318543 A318544

Keyword

nonn

Author

R. H. Hardin, Aug 28 2018

Status

approved