5,2

Two permutation groups are combinatorially equivalent iff they have the same cycle index. Order of partition is lcm of its parts.

G.f.: x^5*(1+x-x^6)/((x-1)*(x^2-1)*(x^3-1)*(x^6-1)). More generally, g.f. for number of partitions of order d is Sum_{i divides d} mu(d/i)*1/Product_{j divides i} (1-x^j).

Sequence in context: A062441 A059290 A133231 this_sequence A039825 A126256 A062438

Adjacent sequences: A074749 A074750 A074751 this_sequence A074753 A074754 A074755

easy,nonn

Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 28 2002