A220935 T(n,k)=Equals two maps: number of nXk binary arrays indicating the locations of corresponding elements equal to exactly two of their horizontal and antidiagonal neighbors in a random 0..2 nXk array

1, 1, 1, 2, 4, 1, 4, 16, 12, 1, 7, 52, 92, 37, 1, 12, 200, 673, 556, 114, 1, 21, 792, 5912, 9107, 3332, 351, 1, 37, 3080, 48212, 172904, 123958, 19996, 1081, 1, 65, 12164, 395844, 2876430, 4983202, 1686304, 119972, 3329, 1, 114, 47827, 3232729, 49406891

Offset

1,4

Comments

Table starts

.1....1......2.......4.......7......12.......21......37....65.114

.1....4.....16......52.....200.....792.....3080...12164.47827

.1...12.....92.....673....5912...48212...395844.3232729

.1...37....556....9107..172904.2876430.49406891

.1..114...3332..123958.4983202

.1..351..19996.1686304

.1.1081.119972

.1.3329

.1

Links

Table of n, a(n) for n=1..49.

Example

Some solutions for n=3 k=4
..0..0..1..1....0..0..1..1....0..0..0..1....0..0..0..1....0..1..0..1
..0..1..1..0....0..1..1..1....1..0..1..1....0..0..0..1....0..0..0..1
..1..1..0..0....0..0..0..0....0..0..0..0....1..0..1..0....1..0..0..0

Crossrefs

Column 2 is A099098

Row 1 is A005251(n+1)

Sequence in context: A204021 A236471 A220328 * A221290 A078739 A004597

Adjacent sequences: A220932 A220933 A220934 * A220936 A220937 A220938

Keyword

nonn,tabl

Author

R. H. Hardin Dec 25 2012

Status

approved