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