A233049 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

29, 106, 117, 316, 1112, 406, 830, 8494, 10029, 1236, 1957, 55833, 205965, 76535, 3486, 4221, 321015, 3663434, 4406966, 517022, 9301, 8521, 1643645, 56606272, 222064761, 82425923, 3217676, 23663, 16235, 7654949, 770098445, 9787857650

Offset

1,1

Comments

Table starts

....29......106........316.........830.......1957.........4221.......8521

...117.....1112.......8494.......55833.....321015......1643645....7654949

...406....10029.....205965.....3663434...56606272....770098445.9363945606

..1236....76535....4406966...222064761.9787857650.380311866120

..3486...517022...82425923.11779384486

..9301..3217676.1386551033

.23663.18578380

.58115

Links

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

Example

Some solutions for n=2 k=4
..0..1..0..0..1....1..0..0..0..1....0..0..1..2..0....2..0..0..2..0
..1..0..1..2..2....2..2..0..1..1....0..0..1..1..2....0..2..0..2..2
..0..1..1..2..2....0..1..2..2..2....0..1..2..2..2....0..1..2..1..2

Crossrefs

Sequence in context: A258721 A009406 A211496 * A233050 A142176 A115272

Adjacent sequences: A233046 A233047 A233048 * A233050 A233051 A233052

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2013

Status

approved