A203896 T(n,k)=Number of (n+1)X(k+1) 0..4 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

205, 1940, 1940, 16842, 72423, 16842, 131432, 2634939, 2634939, 131432, 940270, 77658673, 499486878, 77658673, 940270, 6287755, 1905833494, 74956749750, 74956749750, 1905833494, 6287755, 39889619, 40229386532, 9042090593477

Offset

1,1

Comments

Table starts

.......205...........1940...............16842.................131432

......1940..........72423.............2634939...............77658673

.....16842........2634939...........499486878............74956749750

....131432.......77658673.........74956749750.........58500223468696

....940270.....1905833494.......9042090593477......36337203300044690

...6287755....40229386532.....909510089895106...18604524788467098072

..39889619...749063366121...78614554935810312.8110443447372955603425

.242721211.12535141537226.5968834286653520880

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Sequence in context: A015974 A203870 A203863 * A203889 A226564 A077457

Adjacent sequences: A203893 A203894 A203895 * A203897 A203898 A203899

Keyword

nonn,tabl

Author

R. H. Hardin Jan 07 2012

Status

approved