A232783 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

29, 110, 110, 338, 1140, 338, 898, 9315, 9315, 898, 2139, 63536, 220424, 63536, 2139, 4667, 371914, 4237458, 4237458, 371914, 4667, 9450, 1940081, 67436728, 241302250, 67436728, 1940081, 9450, 18046, 9154020, 946103684, 11306030383, 11306030383

Offset

1,1

Comments

Table starts

....29.....110.......338.........898........2139.........4667........9450

...110....1140......9315.......63536......371914......1940081.....9154020

...338....9315....220424.....4237458....67436728....946103684.11847657204

...898...63536...4237458...241302250.11306030383.462682303760

..2139..371914..67436728.11306030383

..4667.1940081.946103684

..9450.9154020

.18046

Links

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

Example

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

Crossrefs

Sequence in context: A139495 A139983 A157184 * A044280 A044661 A010017

Adjacent sequences: A232780 A232781 A232782 * A232784 A232785 A232786

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2013

Status

approved