login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056300 Number of primitive (period n) n-bead necklace structures using a maximum of four different colored beads. 5

%I

%S 1,1,2,5,10,35,102,360,1232,4427,15934,58465,215250,799593,2983204,

%T 11187200,42109450,159081482,602809326,2290679807,8726308212,

%U 33318645341,127479700198,488672244040,1876500180280

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

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

%F a(n) = Sum_{d|n} mu(d) * A056292(n/d); mu = A008683.

%Y Cf. A008683, A027377, A056292.

%K nonn

%O 1,3

%A _Marks R. Nester_

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 18 01:39 EDT 2021. Contains 347504 sequences. (Running on oeis4.)