A297372 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 0, 1 or 2 neighboring 1s.

64, 2807, 116932, 4986469, 211988289, 9012089653, 383128155296, 16287817972455, 692439110062325, 29437457074856299, 1251465819161322185, 53203192507527858031, 2261811429397076122601, 96155713614199340990747

Offset

1,1

Comments

Column 6 of A297374.

Links

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

Formula

Empirical: a(n) = 44*a(n-1) -56*a(n-2) -187*a(n-3) -5608*a(n-4) +21016*a(n-5) -3332*a(n-6) +4895*a(n-7) -116578*a(n-8) +68785*a(n-9) -21021*a(n-10) +27575*a(n-11) -9269*a(n-12) +5557*a(n-13) -1984*a(n-14) -691*a(n-15) -73*a(n-16) +16*a(n-17) for n>19

Example

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

Crossrefs

Cf. A297374.

Sequence in context: A303518 A240483 A240635 * A283696 A283128 A295714

Adjacent sequences: A297369 A297370 A297371 * A297373 A297374 A297375

Keyword

nonn

Author

R. H. Hardin, Dec 29 2017

Status

approved