A233363 Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..4+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

36, 250, 1964, 16113, 117318, 781467, 4826580, 28172630, 156288347, 832235200, 4255521920, 20978491523, 99962490584

Offset

1,1

Comments

Column 4 of A233366

Links

Table of n, a(n) for n=1..13.

Example

Some solutions for n=5
..0..0..1..1..0....0..0..1..0..0....0..0..0..0..0....0..0..1..0..0
..1..1..0..1..0....0..1..1..0..0....0..0..0..0..0....0..0..1..1..0
..0..0..1..1..0....0..0..1..0..1....1..0..1..0..1....1..1..0..1..0
..0..1..0..0..1....1..1..0..0..1....1..0..0..1..1....0..1..0..0..1
..1..0..1..1..1....1..1..0..1..1....0..1..1..1..1....0..0..1..1..1
..0..1..1..1..1....0..0..1..1..1....0..1..1..1..1....0..0..1..1..1

Crossrefs

Sequence in context: A223558 A074363 A219888 * A030165 A282099 A247840

Adjacent sequences: A233360 A233361 A233362 * A233364 A233365 A233366

Keyword

nonn

Author

R. H. Hardin, Dec 08 2013

Status

approved