A268884 Number of nX6 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.

20, 475, 9996, 186732, 3283890, 55491832, 911930096, 14681855846, 232688402028, 3642322709900, 56444213311842, 867475989937560, 13239446101273360, 200865483664370358, 3031934392327858732, 45561723449682618252

Offset

1,1

Comments

Column 6 of A268886.

Links

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

Formula

Empirical: a(n) = 42*a(n-1) -665*a(n-2) +5138*a(n-3) -21972*a(n-4) +55274*a(n-5) -83769*a(n-6) +76202*a(n-7) -40273*a(n-8) +11304*a(n-9) -1296*a(n-10) for n>12

Example

Some solutions for n=4
..1..0..0..0..0..0. .0..0..0..1..1..0. .1..0..0..0..1..1. .1..0..1..0..0..1
..0..0..1..0..0..1. .0..1..0..0..0..1. .0..0..0..0..0..1. .0..0..1..0..0..1
..1..0..0..1..0..1. .0..1..0..0..0..0. .1..0..1..0..0..0. .1..0..1..0..0..0
..1..1..0..1..0..1. .0..0..0..0..0..0. .0..0..1..0..1..0. .0..1..0..0..0..1

Crossrefs

Cf. A268886.

Sequence in context: A049382 A288034 A272553 * A324069 A065412 A159753

Adjacent sequences: A268881 A268882 A268883 * A268885 A268886 A268887

Keyword

nonn

Author

R. H. Hardin, Feb 15 2016

Status

approved