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A203913 T(n,k)=Number of (n+1)X(k+1) 0..6 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
728, 13006, 13006, 203994, 1464079, 203994, 2788842, 147040347, 147040347, 2788842, 34183816, 11575205434, 111118765078, 11575205434, 34183816, 384541867, 746879546466, 63988637491851, 63988637491851, 746879546466 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.........728............13006...............203994...............2788842

.......13006..........1464079............147040347...........11575205434

......203994........147040347.........111118765078........63988637491851

.....2788842......11575205434.......63988637491851....270356138202215532

....34183816.....746879546466....29334499587197078.898462061528909496153

...384541867...40994270815269.11182918411649538015

..4038515481.1965119386833492

.40101448387

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40

EXAMPLE

Some solutions for n=4 k=3

..0..5..4..0....6..3..4..5....2..3..6..5....5..0..6..4....1..1..2..2

..5..1..2..6....3..6..5..4....5..4..4..5....0..5..2..4....3..3..6..6

..4..4..5..6....6..4..5..6....5..6..5..4....6..1..0..3....2..4..6..6

..5..3..6..5....4..6..6..5....6..6..4..5....1..6..3..5....6..1..4..4

..2..6..4..3....5..6..4..5....6..6..6..6....4..6..2..0....1..6..3..3

CROSSREFS

Sequence in context: A233962 A203672 A203665 * A203909 A085479 A203664

Adjacent sequences:  A203910 A203911 A203912 * A203914 A203915 A203916

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 07 2012

STATUS

approved

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Last modified May 17 02:55 EDT 2022. Contains 353727 sequences. (Running on oeis4.)