OFFSET
1,9
COMMENTS
The partition of 1 is considered to be dimension -1 by convention.
LINKS
Suresh Govindarajan, Rows n = 1..26 of Triangle
Suresh Govindarajan, Partitions Generator (gives partitions of integers <= 25 in any dimension using this triangle).
Suresh Govindarajan, Refined counting of higher-dimensional partitions
Suresh Govindarajan, Notes on higher-dimensional partitions, arXiv preprint arXiv:1203.4419, 2012.
FORMULA
a(n,m) = A096806(n,m-1)-a(n,m-1). Binomial transform of n-th row lists the (m-1) dimensional partitions of n.
EXAMPLE
Table starts:
1,
0,1,
0,1,1,
0,1,3,1,
0,1,5,6,1,
CROSSREFS
KEYWORD
AUTHOR
Franklin T. Adams-Watters, May 11 2006
STATUS
approved