A222935 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 4 of their horizontal and antidiagonal neighbors in a random 0..3 nXk array

2, 2, 4, 8, 16, 8, 16, 48, 64, 16, 24, 256, 512, 232, 32, 64, 1024, 4000, 4096, 1024, 64, 128, 4096, 32760, 63488, 32768, 4096, 128, 232, 15820, 262104, 1047664, 1048352, 262144, 16224, 256, 512, 65536, 2097152, 16776992, 33553920, 16777216, 2097152

Offset

1,1

Comments

Table starts

....2.......2.........8.........16..........24..........64.........128

....4......16........48........256........1024........4096.......15820

....8......64.......512.......4000.......32760......262104.....2097152

...16.....232......4096......63488.....1047664....16776992...268435456

...32....1024.....32768....1048352....33553920..1073741824.34358569712

...64....4096....262144...16777216..1073741824.68719413208

..128...16224...2097152..268435456.34359738368

..256...65536..16777216.4294962688

..512..262144.134217728

.1024.1047680

.2048

Links

R. H. Hardin, Table of n, a(n) for n = 1..70

Example

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

Crossrefs

Column 1 is A000079

Column 2 is A222381

Column 3 is A001018 except for a(2)

Row 1 is A220172

Sequence in context: A154002 A154005 A222386 * A279059 A054243 A289670

Adjacent sequences: A222932 A222933 A222934 * A222936 A222937 A222938

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2013

Status

approved