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A203787 T(n,k)=Number of (n+1)X(k+1) 0..3 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
90, 565, 565, 3352, 10109, 3352, 18332, 187118, 187118, 18332, 93578, 2903185, 13948153, 2903185, 93578, 452825, 38244007, 855879499, 855879499, 38244007, 452825, 2103364, 439011778, 42858325343, 215433191774, 42858325343, 439011778 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......90.........565.............3352.................18332

.....565.......10109...........187118...............2903185

....3352......187118.........13948153.............855879499

...18332.....2903185........855879499..........215433191774

...93578....38244007......42858325343........43960759831841

..452825...439011778....1799006388496......7419043577516162

.2103364..4495376717...65121080193243...1066959581935799954

.9466880.41798687510.2076963297883071.133822712331030881445

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

EXAMPLE

Some solutions for n=4 k=3

..0..1..1..3....2..0..0..2....3..0..1..1....3..0..0..2....1..0..0..0

..1..2..2..0....1..3..3..2....0..3..2..2....0..3..3..2....0..3..3..3

..3..1..1..3....3..2..3..1....3..2..3..3....0..3..3..2....1..3..3..3

..2..2..3..1....2..3..2..2....2..3..3..3....3..1..1..3....3..3..3..3

..2..3..0..2....2..3..2..2....2..3..3..3....2..2..2..2....3..3..3..3

CROSSREFS

Sequence in context: A289792 A156738 A211446 * A203780 A295982 A065949

Adjacent sequences:  A203784 A203785 A203786 * A203788 A203789 A203790

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Jan 05 2012

STATUS

approved

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Last modified October 20 10:00 EDT 2020. Contains 337900 sequences. (Running on oeis4.)