A207858 T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

2, 4, 4, 6, 16, 6, 9, 36, 36, 10, 15, 81, 102, 100, 16, 25, 225, 289, 370, 256, 26, 40, 625, 1071, 1369, 1232, 676, 42, 64, 1600, 3969, 7289, 5929, 4238, 1764, 68, 104, 4096, 13230, 38809, 44121, 26569, 14406, 4624, 110, 169, 10816, 44100, 178088, 328329

Offset

1,1

Comments

Table starts

..2....4.....6......9.......15........25.........40..........64...........104

..4...16....36.....81......225.......625.......1600........4096.........10816

..6...36...102....289.....1071......3969......13230.......44100........153090

.10..100...370...1369.....7289.....38809.....178088......817216.......3976696

.16..256..1232...5929....44121....328329....2047902....12773476......85393582

.26..676..4238..26569...279219...2934369...24999522...212984836....1971051046

.42.1764.14406.117649..1737981..25674489..298294290..3465676900...44249929850

.68.4624.49164.522729.10873197.226171521.3584335104.56804048896.1001624438528

Links

R. H. Hardin, Table of n, a(n) for n = 1..391

Example

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

Crossrefs

Column 1 is A006355(n+2)

Column 2 is A206981

Column 3 is A207249

Row 1 is A006498(n+2)

Row 2 is A189145(n+2)

Row 3 is A207704

Sequence in context: A207519 A208698 A207928 * A208379 A207453 A208287

Adjacent sequences: A207855 A207856 A207857 * A207859 A207860 A207861

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 21 2012

Status

approved