A232787 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing

29, 112, 112, 350, 1169, 350, 938, 9819, 9819, 938, 2245, 65492, 242252, 65492, 2245, 4897, 373614, 4641048, 4641048, 373614, 4897, 9932, 1844746, 74536295, 270627569, 74536295, 1844746, 9932, 19033, 8112547, 1009610447, 13242432197, 13242432197

Offset

1,1

Comments

Table starts

....29......112.........350..........938..........2245.........4897........9932

...112.....1169........9819........65492........373614......1844746.....8112547

...350.....9819......242252......4641048......74536295...1009610447.11868407907

...938....65492.....4641048....270627569...13242432197.532532064179

..2245...373614....74536295..13242432197.2004915624292

..4897..1844746..1009610447.532532064179

..9932..8112547.11868407907

.19033.32677547

.34678

Links

R. H. Hardin, Table of n, a(n) for n = 1..48

Example

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

Crossrefs

Sequence in context: A256648 A297508 A232780 * A232852 A233117 A209880

Adjacent sequences: A232784 A232785 A232786 * A232788 A232789 A232790

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 30 2013

Status

approved