A269017 Number of 7Xn binary arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.

0, 1183, 22654, 566656, 10002542, 192100836, 3258530608, 56916559941, 940858829922, 15693717431672, 254647316356204, 4136953520012344, 66194476183413344, 1057401264518371179, 16737766253590304358

Offset

1,2

Comments

Row 7 of A269011.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +287*a(n-2) -5714*a(n-3) -26548*a(n-4) +662854*a(n-5) +503265*a(n-6) -36588730*a(n-7) +43719737*a(n-8) +1055812740*a(n-9) -2531478280*a(n-10) -16536573196*a(n-11) +55382641489*a(n-12) +144894098686*a(n-13) -653413097167*a(n-14) -674041638674*a(n-15) +4637903423724*a(n-16) +1002070742726*a(n-17) -20672353979137*a(n-18) +5547728650154*a(n-19) +58313438730423*a(n-20) -34583201988384*a(n-21) -101896578743152*a(n-22) +86334749395584*a(n-23) +103754510061648*a(n-24) -115277187600000*a(n-25) -52616533613760*a(n-26) +83474612042112*a(n-27) +5618980228032*a(n-28) -30037873821696*a(n-29) +4537384086528*a(n-30) +4167543840768*a(n-31) -1173876903936*a(n-32)

Example

Some solutions for n=3
..0..1..0. .0..0..1. .0..1..0. .1..1..0. .1..1..0. .0..0..0. .1..0..1
..0..0..0. .1..0..0. .0..1..0. .0..0..0. .0..0..0. .0..1..0. .1..0..1
..0..1..0. .1..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..0..0
..1..0..0. .1..0..0. .0..1..0. .0..0..0. .0..0..1. .1..0..1. .1..0..0
..0..0..1. .1..0..0. .0..1..0. .0..0..0. .0..0..1. .0..0..1. .0..0..0
..0..0..1. .1..0..0. .0..0..0. .0..1..0. .0..0..0. .0..0..0. .0..1..0
..1..0..1. .0..1..0. .1..1..0. .0..0..0. .0..1..0. .1..1..0. .0..0..1

Crossrefs

Cf. A269011.

Sequence in context: A321867 A210847 A320716 * A328064 A280516 A205994

Adjacent sequences: A269014 A269015 A269016 * A269018 A269019 A269020

Keyword

nonn

Author

R. H. Hardin, Feb 17 2016

Status

approved