A301782 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

32, 2048, 102544, 5289488, 272151040, 14004742144, 720677122368, 37085631944448, 1908405940870656, 98205502293666304, 5053600235887926528, 260055442333825587456, 13382307648283890182400, 688646068647065495513344

Offset

1,1

Comments

Column 6 of A301784.

Links

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

Formula

Empirical: a(n) = 43*a(n-1) +480*a(n-2) -1702*a(n-3) -30832*a(n-4) -11408*a(n-5) +814664*a(n-6) +1472112*a(n-7) -11834976*a(n-8) -36099456*a(n-9) +88414976*a(n-10) +486329344*a(n-11) -32384000*a(n-12) -2712928256*a(n-13) -1672069120*a(n-14) +2313256960*a(n-15) -301727744*a(n-16) -1018691584*a(n-17) +278921216*a(n-18) +973078528*a(n-19) -234881024*a(n-20)

Example

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

Crossrefs

Cf. A301784.

Sequence in context: A301441 A302013 A302008 * A316806 A213416 A317523

Adjacent sequences: A301779 A301780 A301781 * A301783 A301784 A301785

Keyword

nonn

Author

R. H. Hardin, Mar 26 2018

Status

approved