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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
10
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 07 2013
STATUS
approved