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
Keywords
Examples
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
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Crossrefs
Cf. A269011.
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)
Comments