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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 7
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 29 04:50 EDT 2022. Contains 357082 sequences. (Running on oeis4.)