A203672 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) nondecreasing in column and row directions, respectively

728, 10530, 10530, 111648, 317138, 111648, 1049566, 6780455, 6780455, 1049566, 8749285, 108864887, 258487684, 108864887, 8749285, 67221763, 1447373824, 7178236454, 7178236454, 1447373824, 67221763, 482381877, 16256618529

Offset

1,1

Comments

Table starts

........728.........10530..........111648...........1049566.............8749285

......10530........317138.........6780455.........108864887..........1447373824

.....111648.......6780455.......258487684........7178236454........150678768765

....1049566.....108864887......7178236454......314604157273......10106160753534

....8749285....1447373824....150678768765....10106160753534.....469214921553966

...67221763...16256618529...2567705516301...248951034536521...16249513382398064

..482381877..160492711072..36453931556452..4957510935448467..438625288948634323

.3278417620.1415401335585.446170354019486.82056214302673100.9625199918804866359

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for n=4 k=3
..5..0..2..5....3..1..1..5....3..0..2..3....1..0..0..5....2..5..1..1
..0..5..5..4....1..4..4..2....3..6..4..4....2..5..5..4....5..2..6..6
..1..5..5..6....2..4..4..6....5..4..6..6....2..5..5..6....1..6..6..6
..3..4..6..5....6..4..5..5....3..6..6..6....1..6..6..6....4..6..6..6
..6..5..5..6....4..6..5..5....5..6..6..6....3..6..6..6....6..6..6..6

Crossrefs

Sequence in context: A051383 A293650 A233962 * A203665 A203913 A203909

Adjacent sequences: A203669 A203670 A203671 * A203673 A203674 A203675

Keyword

nonn,tabl

Author

R. H. Hardin Jan 04 2012

Status

approved