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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 5
406, 5411, 5411, 64568, 367895, 64568, 680400, 23213355, 23213355, 680400, 6489940, 1162808408, 9336835297, 1162808408, 6489940, 57269565, 48020026044, 2904393889106, 2904393889106, 48020026044, 57269565, 475164554 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 28 10:20 EDT 2022. Contains 354903 sequences. (Running on oeis4.)