A233117 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing

29, 112, 123, 365, 1182, 464, 1079, 9514, 11741, 1636, 2969, 67130, 252958, 110078, 5523, 7697, 427059, 4736663, 6419678, 980034, 18027, 19161, 2495541, 79223727, 326851781, 155904223, 8365600, 57505, 46225, 13620058, 1206772195, 14834218690

Offset

1,1

Comments

Table starts

.....29......112........365........1079........2969.........7697.......19161

....123.....1182.......9514.......67130......427059......2495541....13620058

....464....11741.....252958.....4736663....79223727...1206772195.16999415895

...1636...110078....6419678...326851781.14834218690.610630273520

...5523...980034..155904223.21857081167

..18027..8365600.3638300272

..57505.69167118

.180104

Links

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

Example

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

Crossrefs

Sequence in context: A232780 A232787 A232852 * A209880 A232784 A232849

Adjacent sequences: A233114 A233115 A233116 * A233118 A233119 A233120

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 04 2013

Status

approved