A301789 Number of n X 7 0..1 arrays with every element equal to 0 or 1 horizontally or antidiagonally adjacent elements, with upper left element zero.

21, 35, 59, 100, 171, 294, 508, 881, 1532, 2670, 4661, 8147, 14254, 24957, 43721, 76625, 134335, 235566, 413157, 724732, 1271408, 2230625, 3913758, 6867218, 12049871, 21144385, 37103604, 65109365, 114255101, 200498599, 351843723

Offset

1,1

Comments

Column 7 of A301790.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -a(n-4) -a(n-6).

Example

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

Crossrefs

Cf. A301790.

Sequence in context: A138227 A246157 A364029 * A244166 A301963 A219919

Adjacent sequences: A301786 A301787 A301788 * A301790 A301791 A301792

Keyword

nonn

Author

R. H. Hardin, Mar 26 2018

Status

approved