A187408 T(n,k)=Number of (n+1)X(n+1) 0..k arrays with diagonal zero and the i,j-th 2X2 subblock sum equal to the j,i-th 2X2 subblock sum

4, 9, 20, 16, 141, 152, 25, 580, 4743, 1984, 36, 1751, 59008, 378999, 50176, 49, 4332, 426425, 18555136, 77470101, 2677760, 64, 9331, 2164680, 397056235, 19210448896, 43182942669, 306864128, 81, 18152, 8583967, 4935992256, 1500716036725

Offset

1,1

Comments

Table starts

.................4......................9......................16

................20....................141.....................580

...............152...................4743...................59008

..............1984.................378999................18555136

.............50176...............77470101.............19210448896

...........2677760............43182942669..........68711440384000

.........306864128.........69704886620367......884085911344119808

.......73913860096.....343603587128867631.42474221110291056295936

....36612251582464.5351921330163734358189

.36818799747399680

Links

R. H. Hardin, Table of n, a(n) for n = 1..61

Example

Some k=3 solutions for 4X4
..0..2..3..0....0..2..2..2....0..0..3..0....0..1..2..0....0..3..0..1
..3..0..2..2....1..0..2..1....1..0..2..2....2..0..1..3....3..0..2..1
..2..2..0..2....3..2..0..0....1..3..0..3....1..1..0..0....1..1..0..0
..2..1..3..0....2..0..1..0....2..1..3..0....1..3..0..0....2..0..2..0

Crossrefs

Sequence in context: A359278 A241351 A023377 * A211055 A336025 A308482

Adjacent sequences: A187405 A187406 A187407 * A187409 A187410 A187411

Keyword

nonn,tabl

Author

R. H. Hardin Mar 09 2011

Status

approved