A233301 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing

7, 13, 15, 22, 42, 31, 34, 105, 141, 64, 50, 232, 567, 502, 129, 70, 475, 1986, 3556, 1739, 258, 95, 904, 6292, 21957, 21856, 5964, 515, 125, 1632, 18205, 122022, 239330, 135636, 20185, 1029, 161, 2806, 48913, 616439, 2353493, 2694620, 836259, 67609

Offset

1,1

Comments

Table starts

....7.....13........22.........34..........50..........70..........95

...15.....42.......105........232.........475.........904........1632

...31....141.......567.......1986........6292.......18205.......48913

...64....502......3556......21957......122022......616439.....2871477

..129...1739.....21856.....239330.....2353493....20916337...170084407

..258...5964....135636....2694620....48504411...789640245.11764401320

..515..20185....836259...30257296..1007309118.30406745215

.1029..67609...5134856..338790472.21022231309

.2055.224165..31326263.3761876941

.4107.737347.190404404

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Row 1 is A002623(n+1)

Sequence in context: A059520 A371784 A293576 * A274255 A233747 A279831

Adjacent sequences: A233298 A233299 A233300 * A233302 A233303 A233304

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 07 2013

Status

approved