A295047 Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0 or 2 1s.

8, 48, 270, 1569, 9045, 52199, 301306, 1739181, 10038808, 57945607, 334471955, 1930628323, 11143914889, 64324570123, 371292350727, 2143162565884, 12370698651477, 71405775600211, 412166275575168, 2379093810054735

Offset

1,1

Comments

Column 4 of A295051.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +6*a(n-2) -4*a(n-3) -25*a(n-4) -13*a(n-5) -31*a(n-6) -19*a(n-7) -56*a(n-8) +83*a(n-9) +39*a(n-10) +23*a(n-11) +53*a(n-12) +14*a(n-13) +15*a(n-14) +2*a(n-15) -4*a(n-16) -a(n-17) -a(n-18)

Example

Some solutions for n=6
..1..0..0..0. .0..0..0..0. .1..0..0..0. .1..1..0..0. .0..1..0..1
..0..1..0..0. .1..0..0..1. .0..0..1..0. .1..1..0..1. .0..0..1..0
..0..0..0..0. .0..0..0..0. .0..1..0..1. .0..0..0..0. .0..1..0..1
..0..0..0..1. .1..0..0..0. .0..0..0..0. .0..1..0..1. .1..0..1..0
..0..1..0..0. .0..1..0..0. .1..1..0..0. .0..0..0..0. .0..1..0..1
..0..0..1..0. .0..0..0..0. .1..1..0..1. .0..0..0..1. .1..0..1..0

Crossrefs

Cf. A295051.

Sequence in context: A128734 A006321 A371620 * A295375 A081554 A231109

Adjacent sequences: A295044 A295045 A295046 * A295048 A295049 A295050

Keyword

nonn

Author

R. H. Hardin, Nov 13 2017

Status

approved