A203714 T(n,k)=Number of (n+1)X(k+1) 0..5 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

406, 5411, 5411, 64568, 367895, 64568, 680400, 23213355, 23213355, 680400, 6489940, 1162808408, 9336835297, 1162808408, 6489940, 57269565, 48020026044, 2904393889106, 2904393889106, 48020026044, 57269565, 475164554

Offset

1,1

Comments

Table starts

........406...........5411..............64568..............680400

.......5411.........367895...........23213355..........1162808408

......64568.......23213355.........9336835297.......2904393889106

.....680400.....1162808408......2904393889106....5669049948955178

....6489940....48020026044....721542795363654.8737138311717893143

...57269565..1693919110707.149182735653334500

..475164554.52384282627294

.3751457500

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Example

Some solutions for n=4 k=3
..4..4..3..4....4..5..5..5....3..3..1..4....1..0..5..5....0..1..0..2
..4..4..5..4....5..5..5..5....3..3..5..2....4..5..5..5....0..3..4..2
..3..5..4..5....5..5..5..5....3..4..2..5....4..5..5..5....0..4..3..5
..4..4..5..4....5..5..5..5....4..3..5..4....4..5..5..5....4..1..2..5
..4..5..4..5....5..5..5..5....4..5..4..1....5..5..2..2....1..4..5..3

Crossrefs

Sequence in context: A271746 A203944 A203937 * A203710 A251096 A233052

Adjacent sequences: A203711 A203712 A203713 * A203715 A203716 A203717

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2012

Status

approved