A302012 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

16, 512, 13616, 368144, 9989376, 270990144, 7350348800, 199375282176, 5407964088576, 146688598302720, 3978862338503680, 107924853732951040, 2927413180587028480, 79404767608300756992, 2153818654894959054848

Offset

1,1

Comments

Row 5 of A302010.

Links

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

Formula

Empirical: a(n) = 24*a(n-1) +100*a(n-2) -348*a(n-3) -1856*a(n-4) +1536*a(n-5) +14848*a(n-6) +2048*a(n-7) -65024*a(n-8) -40960*a(n-9) +139264*a(n-10) +102400*a(n-11) -147456*a(n-12) for n>15

Example

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

Crossrefs

Cf. A302010.

Sequence in context: A303453 A303459 A301440 * A302007 A301781 A264144

Adjacent sequences: A302009 A302010 A302011 * A302013 A302014 A302015

Keyword

nonn

Author

R. H. Hardin, Mar 30 2018

Status

approved