A233371 Number of (6+1)X(n+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..n+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..6+1} nondecreasing

81, 1928, 38240, 781467, 15009944, 270547199, 4578333280, 72152875243

Offset

1,1

Comments

Row 6 of A233366

Links

Table of n, a(n) for n=1..8.

Example

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

Crossrefs

Sequence in context: A206669 A223206 A296650 * A225019 A224312 A224376

Adjacent sequences: A233368 A233369 A233370 * A233372 A233373 A233374

Keyword

nonn

Author

R. H. Hardin, Dec 08 2013

Status

approved