A268786 Number of nX5 binary arrays with some element plus some horizontally, vertically or antidiagonally adjacent neighbor totalling two exactly once.

10, 131, 1144, 9085, 67100, 477128, 3295246, 22302699, 148575958, 977609634, 6368239274, 41140907455, 263939673228, 1683296018391, 10680625988516, 67468330344536, 424526386272378, 2661981983940811, 16640406499054332

Offset

1,1

Comments

Column 5 of A268789.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +41*a(n-2) +54*a(n-3) -509*a(n-4) -2182*a(n-5) -2830*a(n-6) +1766*a(n-7) +7914*a(n-8) +2584*a(n-9) -10583*a(n-10) -6092*a(n-11) +11506*a(n-12) +5348*a(n-13) -11688*a(n-14) -620*a(n-15) +9251*a(n-16) -4462*a(n-17) -3137*a(n-18) +4774*a(n-19) -2365*a(n-20) +338*a(n-21) +198*a(n-22) -106*a(n-23) +12*a(n-24) +4*a(n-25) -a(n-26)

Example

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

Crossrefs

Cf. A268789.

Sequence in context: A113386 A302615 A281395 * A284196 A286723 A239814

Adjacent sequences: A268783 A268784 A268785 * A268787 A268788 A268789

Keyword

nonn

Author

R. H. Hardin, Feb 13 2016

Status

approved