A302077 Number of nX4 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

5, 18, 70, 265, 1018, 3914, 15017, 57850, 222146, 855385, 3287398, 12651474, 48644813, 187150738, 719753422, 2768709321, 10649029682, 40961783594, 157553086817, 606019586218, 2330988115930, 8965959828713, 34486717807054

Offset

1,1

Comments

Column 4 of A302081.

Links

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

Formula

Empirical: a(n) = a(n-1) +14*a(n-2) -a(n-3) -42*a(n-4) -a(n-5) +14*a(n-6) +a(n-7) -a(n-8)

Example

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

Crossrefs

Cf. A302081.

Sequence in context: A134764 A188177 A343490 * A322773 A145780 A183443

Adjacent sequences: A302074 A302075 A302076 * A302078 A302079 A302080

Keyword

nonn

Author

R. H. Hardin, Mar 31 2018

Status

approved