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