A221666 T(n,k)=Sum of neighbor maps: number of nXk binary arrays indicating the locations of corresponding elements equal to the sum mod 3 of their horizontal, diagonal and antidiagonal neighbors in a random 0..2 nXk array

2, 2, 4, 8, 12, 8, 16, 64, 48, 16, 24, 256, 512, 256, 32, 64, 992, 3772, 3772, 856, 64, 128, 4096, 31744, 63200, 32768, 4096, 128, 232, 16384, 262144, 1048576, 1048576, 262144, 15872, 256, 512, 65344, 2097152, 16777216, 33421056, 16777216, 2097152, 65344

Offset

1,1

Comments

Table starts

....2......2........8........16.........24.........64.......128........232

....4.....12.......64.......256........992.......4096.....16384......65344

....8.....48......512......3772......31744.....262144...2097152...16728064

...16....256.....3772.....63200....1048576...16777216.268281856.4294967296

...32....856....32768...1048576...33421056.1073741824

...64...4096...262144..16777216.1073741824

..128..15872..2097152.268281856

..256..65344.16777216

..512.259584

.1024

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Example

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

Crossrefs

Column 1 is A000079

Row 1 is A220172

Sequence in context: A324039 A019463 A152763 * A086700 A332004 A364669

Adjacent sequences: A221663 A221664 A221665 * A221667 A221668 A221669

Keyword

nonn,tabl

Author

R. H. Hardin Jan 21 2013

Status

approved