A268779 Number of nX6 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.

41, 343, 3354, 27531, 224960, 1755113, 13493468, 101738555, 758303322, 5590121407, 40870469356, 296640792103, 2140108184248, 15358691305417, 109723986174308, 780748875032869, 5535897115345958, 39128843941494495

Offset

1,1

Comments

Column 6 of A268781.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +51*a(n-2) -214*a(n-3) -1074*a(n-4) +2018*a(n-5) +7713*a(n-6) -10572*a(n-7) -22926*a(n-8) +30116*a(n-9) +25283*a(n-10) -32400*a(n-11) -15148*a(n-12) +15184*a(n-13) +5660*a(n-14) -2688*a(n-15) -1024*a(n-16)

Example

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

Crossrefs

Cf. A268781.

Sequence in context: A219080 A184060 A300645 * A142501 A196644 A196599

Adjacent sequences: A268776 A268777 A268778 * A268780 A268781 A268782

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved