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

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

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 A367093

Adjacent sequences: A203784 A203785 A203786 * A203788 A203789 A203790

Keyword

nonn,tabl

Author

R. H. Hardin Jan 05 2012

Status

approved