A301903 Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

1, 3, 2, 8, 12, 64, 196, 864, 3236, 13280, 52260, 210400, 838180, 3358176, 13419044, 53698016, 214737444, 859037152, 3435930148, 13744070112, 54975406628, 219903024608, 879608603172, 3518440005088, 14073746039332, 56295006526944

Offset

1,2

Comments

Column 5 of A301906.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +5*a(n-2) -20*a(n-3) -4*a(n-4) +16*a(n-5) for n>6

Example

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

Crossrefs

Cf. A301906.

Sequence in context: A094188 A088551 A373288 * A165660 A171634 A107300

Adjacent sequences: A301900 A301901 A301902 * A301904 A301905 A301906

Keyword

nonn

Author

R. H. Hardin, Mar 28 2018

Status

approved