A300883 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

3, 2, 4, 8, 17, 57, 148, 356, 864, 2272, 5766, 14438, 36379, 92632, 234473, 592300, 1497878, 3794198, 9602820, 24292985, 61469034, 155580439, 393724501, 996303601, 2521217660, 6380413994, 16146453573, 40860032492, 103400766211, 261668897174

Offset

1,1

Comments

Column 3 of A300888.

Links

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

Formula

Empirical: a(n) = 5*a(n-2) +7*a(n-3) +6*a(n-4) -15*a(n-5) -47*a(n-6) -47*a(n-7) +5*a(n-8) +102*a(n-9) +86*a(n-10) +23*a(n-12) +28*a(n-13) -51*a(n-14) -119*a(n-15) -24*a(n-16) +111*a(n-17) +69*a(n-18) -21*a(n-19) -27*a(n-20) -6*a(n-21) for n>25

Example

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

Crossrefs

Cf. A300888.

Sequence in context: A075087 A084657 A171559 * A019916 A201838 A099257

Adjacent sequences: A300880 A300881 A300882 * A300884 A300885 A300886

Keyword

nonn

Author

R. H. Hardin, Mar 14 2018

Status

approved