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