OFFSET
1,2
REFERENCES
D. E. Knuth: The Art of Computer Programming, Volume 4, Generating All Combinations and Partitions Fascicle 3, Section 7.2.1.4. Generating all partitions. Page 38, Algorithm H.
FORMULA
a(n) = Sum of n!prod_{k=1}^n\{ frac{ A134958(k)^{c_k} }{ k!^{c_k} c_k! } } over all the partitions of n with parts k > 1, c_1 + 2c_2 + ... + nc_n; c_1, c_2, ..., c_n >= 0.
EXAMPLE
a(5) = 11232 since the partitions of 5 with parts > 1 are [5] and [3,2]. The partition [5] corresponds to 9952 hypergraphs and [3,2] corresponds to 5!4/2!32/3! = 1280.
CROSSREFS
KEYWORD
nonn
AUTHOR
Washington Bomfim, Sep 25 2008
STATUS
approved