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

1,8

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

Formula

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

Crossrefs

Cf. A066060, A000688.

Sequence in context: A002483 A282530 A060478 * A359602 A280618 A347714

Adjacent sequences: A088803 A088804 A088805 * A088807 A088808 A088809

Keyword

nonn

Author

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

Status

approved