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A204339 T(n,k)=Number of (n+1)X(k+1) 0..7 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) nondecreasing in column and row directions, respectively 9
1212, 22294, 22294, 296860, 947240, 296860, 3478214, 28167739, 28167739, 3478214, 35861109, 618981328, 1641649698, 618981328, 35861109, 338578395, 11129487382, 68380482851, 68380482851, 11129487382, 338578395, 2968107693, 167047130892 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

........1212..........22294............296860............3478214

.......22294.........947240..........28167739..........618981328

......296860.......28167739........1641649698........68380482851

.....3478214......618981328.......68380482851......4891607353910

....35861109....11129487382.....2112336887047....250869977097844

...338578395...167047130892....52148478516988...9654523816277542

..2968107693..2182013404785..1056518851863222.294839891112676990

.24512819961.25223785164840.18214385897286379

LINKS

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

EXAMPLE

Some solutions for n=4 k=3

..6..2..5..7....3..6..2..7....5..3..1..7....4..2..3..0....0..3..5..6

..1..7..5..7....6..3..7..3....3..5..7..5....3..5..4..7....7..4..5..6

..3..5..7..5....2..7..3..7....3..7..5..7....4..4..5..6....4..7..6..6

..1..7..5..7....6..3..7..5....5..5..7..5....3..5..4..7....5..6..7..7

..3..5..7..5....2..7..5..7....3..7..5..7....2..6..7..4....6..6..7..7

CROSSREFS

Sequence in context: A258727 A234544 A047626 * A204332 A203661 A203657

Adjacent sequences:  A204336 A204337 A204338 * A204340 A204341 A204342

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 14 2012

STATUS

approved

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Last modified November 28 21:30 EST 2021. Contains 349415 sequences. (Running on oeis4.)