A056302 - OEIS

%I #9 Aug 22 2017 20:53:08

%S 1,1,2,5,11,39,125,532,2301,11010,54681,284023,1509851,8194902,

%T 45080652,250641356,1404374247,7917209005,44848645457,255055220735,

%U 1455247360000,8326191235902,47752990403133

%N Number of primitive (period n) n-bead necklace structures using a maximum of six different colored beads.

%C Turning over the necklace is not allowed. Colors may be permuted without changing the necklace structure.

%C a(n) = A107424(n, 1)+A107424(n, 2)+...+A107424(n, 6). - _David Wasserman_, May 31 2005

%D M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

%F sum mu(d)*A056294(n/d) where d|n and n>0.

%Y Cf. A032164.

%K nonn

%O 1,3

%A _Marks R. Nester_