A232886 T(n,k)=Number of (n+1)X(k+1) 0..3 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

83, 527, 578, 2751, 12920, 3473, 12556, 235936, 280325, 18886, 51716, 3695555, 18692802, 5527323, 95877, 196332, 51264185, 1063222171, 1359352910, 100945688, 462013, 698368, 644182816, 53153482029, 286526177537, 91866009436, 1735612787

Offset

1,1

Comments

Table starts

......83........527........2751........12556..........51716........196332

.....578......12920......235936......3695555.......51264185.....644182816

....3473.....280325....18692802...1063222171....53153482029.2386893457725

...18886....5527323..1359352910.286526177537.53047056275986

...95877..100945688.91866009436

..462013.1735612787

.2138895

Links

R. H. Hardin, Table of n, a(n) for n = 1..32

Example

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

Crossrefs

Sequence in context: A142820 A142900 A033248 * A232887 A232884 A142289

Adjacent sequences: A232883 A232884 A232885 * A232887 A232888 A232889

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2013

Status

approved