A233356 Number of (3+1) X (n+1) 0..3 arrays x(i,j) with row sums Sum_{j=1..n+1} x(i,j) nondecreasing, and column sums Sum_{i=1..3+1} i^2*x(i,j) nondecreasing.

3362, 256099, 15632055, 792134993, 34363298528, 1305785141000, 44235742136926, 1354583560472552, 37913976382125298

Offset

1,1

Comments

Row 3 of A233353.

Links

Table of n, a(n) for n=1..9.

Example

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

Crossrefs

Cf. A233353.

Sequence in context: A209090 A207132 A175534 * A035778 A108002 A221332

Adjacent sequences: A233353 A233354 A233355 * A233357 A233358 A233359

Keyword

nonn

Author

R. H. Hardin, Dec 07 2013

Status

approved