login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056331 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of two different colors. 3
1, 1, 2, 4, 9, 16, 35, 66, 133, 261, 527, 1032, 2079, 4123, 8244, 16440, 32895, 65639, 131327, 262380, 524762, 1049071, 2098175, 4195230, 8390646, 16779231, 33558392, 67112892, 134225919, 268443306 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A string and its reverse are considered to be equivalent. Permuting the colors will not change the structure.

REFERENCES

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]

LINKS

Table of n, a(n) for n=1..30.

FORMULA

a(n) = sum mu(d)*A005418(n/d) where d divides n.

MATHEMATICA

a[n_] := DivisorSum[n, MoebiusMu[#] (2^(n/#-2) + 2^(Floor[n/#/2]-1))&];

Array[a, 30] (* Jean-Fran├žois Alcover, Jun 29 2018 *)

CROSSREFS

Cf. A045625.

Sequence in context: A203320 A005980 A128093 * A056336 A203318 A282776

Adjacent sequences:  A056328 A056329 A056330 * A056332 A056333 A056334

KEYWORD

nonn

AUTHOR

Marks R. Nester

STATUS

approved

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 October 22 12:47 EDT 2019. Contains 328318 sequences. (Running on oeis4.)