A183511 - OEIS

A183511

Number of nX3 binary arrays with each element equal to either the sum mod 2 of its horizontal and vertical neighbors or the sum mod 2 of its diagonal and antidiagonal neighbors

3, 11, 37, 138, 427, 1444, 4903, 16506, 55852, 187749, 633539, 2137749, 7207808, 24313464, 81989501, 276535047, 932671520, 3145519293, 10608869096, 35779805168, 120673337749, 406989614355, 1372634462321, 4629426356298

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 3 of A183517

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n)=3*a(n-1)+a(n-2)+2*a(n-4)+45*a(n-5)-130*a(n-6)-10*a(n-7)-57*a(n-8)-116*a(n-9)-609*a(n-10)+1826*a(n-11)-154*a(n-12)+1188*a(n-13)+1483*a(n-14)+3325*a(n-15)-8688*a(n-16)+2928*a(n-17)-12411*a(n-18)-5714*a(n-19)-6617*a(n-20)+9668*a(n-21)-16764*a(n-22)+47040*a(n-23)+18374*a(n-24)-316*a(n-25)+16556*a(n-26)+32977*a(n-27)-59292*a(n-28)-28152*a(n-29)-9666*a(n-30)-17496*a(n-31)+5589*a(n-32)+2916*a(n-33)

EXAMPLE

Some solutions for 5X3

..0..0..0....1..0..0....0..1..1....1..1..1....0..1..0....1..0..1....1..1..0

..0..0..0....1..0..1....0..0..0....0..1..0....1..0..0....0..1..0....0..0..1

..1..0..1....0..1..1....0..0..1....0..1..1....0..0..0....1..0..0....1..0..1

..1..0..1....0..0..1....0..1..0....0..1..0....1..1..0....0..0..0....1..1..0

..0..0..0....1..1..0....0..0..0....1..0..0....0..1..1....0..0..0....1..0..0

CROSSREFS

Sequence in context: A232031 A047102 A109000 * A307800 A265796 A129962

Adjacent sequences: A183508 A183509 A183510 * A183512 A183513 A183514

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 05 2011

STATUS

approved