A269016 Number of 6Xn binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

0, 420, 4952, 91048, 1053432, 14382480, 164351184, 2008761644, 22653710120, 262438771480, 2922424553104, 32858512559296, 361841100434016, 3993863461953940, 43568235211010040, 474957563309125640

Offset

1,2

Comments

Row 6 of A269011.

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +160*a(n-2) -980*a(n-3) -9416*a(n-4) +38056*a(n-5) +226410*a(n-6) -670648*a(n-7) -2592568*a(n-8) +5911340*a(n-9) +15294568*a(n-10) -26316136*a(n-11) -50480497*a(n-12) +59619248*a(n-13) +94091288*a(n-14) -64298400*a(n-15) -91176864*a(n-16) +26645760*a(n-17) +36563904*a(n-18) -3642624*a(n-19) -4981824*a(n-20)

Example

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

Crossrefs

Cf. A269011.

Sequence in context: A160372 A171259 A061125 * A317983 A179718 A166784

Adjacent sequences: A269013 A269014 A269015 * A269017 A269018 A269019

Keyword

nonn

Author

R. H. Hardin, Feb 17 2016

Status

approved