A302008 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

32, 2048, 102544, 5276816, 270990144, 13918667808, 714887543376, 36717919842624, 1885898831169344, 96863178142358672, 4975068186720184080, 255528508742343929504, 13124406807998548541168, 674093293580517672325808

Offset

1,1

Comments

Column 6 of A302010.

Links

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

Formula

Empirical: a(n) = 45*a(n-1) +324*a(n-2) +190*a(n-3) -2434*a(n-4) -3156*a(n-5) +5467*a(n-6) +5122*a(n-7) -6753*a(n-8) +1356*a(n-9) -16*a(n-10) for n>12

Example

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

Crossrefs

Cf. A302010.

Sequence in context: A303460 A301441 A302013 * A301782 A316806 A213416

Adjacent sequences: A302005 A302006 A302007 * A302009 A302010 A302011

Keyword

nonn

Author

R. H. Hardin, Mar 30 2018

Status

approved