OFFSET
0,3
COMMENTS
The Heinz numbers of these partitions are given by A326848.
LINKS
Fausto A. C. Cariboni, Table of n, a(n) for n = 0..160
EXAMPLE
The a(1) = 1 through a(9) = 5 partitions:
1 2 3 4 5 6 7 8 9
11 111 22 11111 33 1111111 44 333
1111 222 2222 621
411 4211 321111
3111 11111111 111111111
111111
For example, (4,1,1) is such a partition because its length times maximum is 3 * 4 = 12, which is a multiple of 6.
MATHEMATICA
Table[If[n==0, 1, Length[Select[IntegerPartitions[n], Divisible[Max[#]*Length[#], n]&]]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jul 26 2019
STATUS
approved