OFFSET
0,2
COMMENTS
A partition has maximum rectangle <= n iff it is a subpartition of row n of A010766.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..100
Eric Weisstein's World of Mathematics, Ferrers Diagram.
FORMULA
a(n) = subpart([<floor(n/k)]). The subpart function is A115728 (or A115729), [<floor(n/k)>] is row n of A010766.
a(n) = Sum_{k>=0} A182114(k,n). - Alois P. Heinz, Nov 02 2012
EXAMPLE
The 10 partitions with maximum rectangle <= 3: 0: []; 1: [1]; 2: [2], [1^2], [2,1]; 3: [3], [1^3], [3,1], [2,1^2], [3,1^2].
CROSSREFS
KEYWORD
nonn
AUTHOR
Franklin T. Adams-Watters, Mar 11 2006
STATUS
approved