A268889 Number of 4Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once.

0, 71, 462, 4133, 27130, 186732, 1187838, 7529253, 46440962, 283673207, 1710265892, 10226321520, 60660804228, 357586190291, 2096177689750, 12229766790505, 71054027831574, 411303965509420, 2373090804832634

Offset

1,2

Comments

Row 4 of A268886.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +39*a(n-2) +14*a(n-3) -482*a(n-4) -1102*a(n-5) -111*a(n-6) +1758*a(n-7) +982*a(n-8) -1114*a(n-9) -743*a(n-10) +394*a(n-11) +206*a(n-12) -90*a(n-13) -17*a(n-14) +10*a(n-15) -a(n-16)

Example

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

Crossrefs

Cf. A268886.

Sequence in context: A201313 A078949 A057541 * A142432 A341426 A250982

Adjacent sequences: A268886 A268887 A268888 * A268890 A268891 A268892

Keyword

nonn

Author

R. H. Hardin, Feb 15 2016

Status

approved