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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 9
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 (list; table; graph; refs; listen; history; text; internal format)
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 A271532

Adjacent sequences:  A203962 A203963 A203964 * A203966 A203967 A203968

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 08 2012

STATUS

approved

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Last modified October 19 00:36 EDT 2018. Contains 316327 sequences. (Running on oeis4.)