A203965 T(n,k)=Number of (n+1)X(k+1) 0..2 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

32, 121, 121, 447, 851, 447, 1579, 6586, 6586, 1579, 5352, 45307, 144184, 45307, 5352, 17559, 276516, 2774984, 2774984, 276516, 17559, 56219, 1512850, 45390107, 157316750, 45390107, 1512850, 56219, 176797, 7559349, 632607409, 7594654075

Offset

1,1

Comments

Table starts

.....32......121.........447............1579................5352

....121......851........6586...........45307..............276516

....447.....6586......144184.........2774984............45390107

...1579....45307.....2774984.......157316750..........7594654075

...5352...276516....45390107......7594654075.......1111763853732

..17559..1512850...632607409....307121002440.....136086136646160

..56219..7559349..7690733410..10649020852202...14200017143149033

.176797.35013044.83135996535.323057300197928.1287846430551372962

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

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

Crossrefs

Sequence in context: A297461 A297698 A223314 * A203958 A005903 A344219

Adjacent sequences: A203962 A203963 A203964 * A203966 A203967 A203968

Keyword

nonn,tabl

Author

R. H. Hardin Jan 08 2012

Status

approved