cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A056332 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of three different colors.

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%I A056332 #12 Jun 29 2018 06:08:10
%S A056332 1,1,3,8,24,65,195,564,1677,4976,14883,44452,133224,399113,1196808,
%T A056332 3588840,10764960,32289855,96864963,290580040,871725426,2615132465,
%U A056332 7845353475,23535926760,70607649816,211822550576
%N A056332 Number of primitive (aperiodic) reversible string structures with n beads using a maximum of three different colors.
%C A056332 A string and its reverse are considered to be equivalent. Permuting the colors will not change the structure.
%D A056332 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 A056332 a(n) = Sum mu(d)*A001998(n/d-1) where d|n.
%t A056332 a1998[n_] := If[OddQ[n], (1/4)*(3^n + 4*3^((n-1)/2) + 1), (1/4)*(3^n + 2*3^(n/2) + 1)];
%t A056332 a[n_] := DivisorSum[n, MoebiusMu[#] a1998[n/#-1]&];
%t A056332 Array[a, 26] (* _Jean-François Alcover_, Jun 29 2018 *)
%Y A056332 Cf. A001998, A056314.
%K A056332 nonn
%O A056332 1,3
%A A056332 _Marks R. Nester_