A088806 Number of non-Abelian nilpotent groups of order n.

0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 9, 10, 0, 0, 0, 0, 0

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 22 2003

Keywords

• nonn

Comments

a(n) = 0 precisely when n is cubefree. - Eric M. Schmidt, Dec 19 2014

Links

• T. D. Noe, Table of n, a(n) for n = 1..2015

Crossrefs

Cf. A066060, A000688.

Formula

a(n) = A066060(n) - A000688(n).