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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 9
205, 1940, 1940, 16842, 72423, 16842, 131432, 2634939, 2634939, 131432, 940270, 77658673, 499486878, 77658673, 940270, 6287755, 1905833494, 74956749750, 74956749750, 1905833494, 6287755, 39889619, 40229386532, 9042090593477 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 25 11:12 EDT 2021. Contains 348246 sequences. (Running on oeis4.)