A184231 T(n,k)=Half the number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock diagonal sum differing from its antidiagonal sum by more than 3.

15, 57, 57, 180, 411, 180, 621, 2318, 2318, 621, 2061, 14641, 20958, 14641, 2061, 6966, 88103, 224156, 224156, 88103, 6966, 23355, 541936, 2227254, 4207437, 2227254, 541936, 23355, 78597, 3302001, 22904858, 72246797, 72246797, 22904858, 3302001

Offset

1,1

Comments

Table starts

.....15........57..........180.............621..............2061

.....57.......411.........2318...........14641.............88103

....180......2318........20958..........224156...........2227254

....621.....14641.......224156.........4207437..........72246797

...2061.....88103......2227254........72246797........2100723171

...6966....541936.....22904858......1292899174.......64280495958

..23355...3302001....231988508.....22718557269.....1922921988456

..78597..20204829...2366228756....402560143085....58125919236791

.264060.123402988..24059229300...7106563915316..1748844715494641

.887841.754319381.244980260166.125668351802785.52730125376777241

Links

R. H. Hardin, Table of n, a(n) for n = 1..264

Example

Some solutions for 4X3
..1..2..1....2..0..2....1..0..3....3..1..3....3..1..3....0..3..1....1..3..1
..3..0..3....0..2..0....0..3..1....0..3..1....0..3..1....2..0..2....2..0..2
..0..3..2....3..0..3....2..0..3....3..0..2....1..0..3....1..3..1....0..3..0
..3..0..3....1..2..0....1..3..2....2..3..0....0..3..0....2..0..3....2..0..1

Crossrefs

Sequence in context: A219849 A157856 A082820 * A389979 A039341 A043164

Adjacent sequences: A184228 A184229 A184230 * A184232 A184233 A184234

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 10 2011

Status

approved