A056364 - OEIS

%I #9 Oct 26 2019 14:26:55

%S 1,1,1,2,5,11,32,88,315,1134,4691,19838,88467,399679,1839857,8533474,

%T 39893579,187393549,884152226,4185740194,19876589828,94633345517,

%U 451615299593,2159769331316,10348546459872,49672000435712,238804870806677,1149792978953236,5543621480301561

%N Number of primitive (period n) bracelet structures using a maximum of five different colored beads.

%C Turning over will not create a new bracelet. Permuting the colors of the beads will not change the structure.

%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]

%H Andrew Howroyd, <a href="/A056364/b056364.txt">Table of n, a(n) for n = 0..200</a>

%F a(n) = Sum_{d|n} mu(d)*A056355(n/d) for n > 0.

%F a(n) = Sum_{k=1..5} A276543(n, k) for n > 0. - _Andrew Howroyd_, Oct 26 2019

%Y Cf. A056301, A056355, A056369, A276543.

%K nonn

%O 0,4

%A _Marks R. Nester_

%E a(0)=1 prepended and terms a(25) and beyond from _Andrew Howroyd_, Oct 26 2019