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.

A056336 Number of primitive (aperiodic) reversible string structures with n beads using exactly two different colors.

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%I A056336 #15 Jun 29 2018 10:23:00
%S A056336 0,1,2,4,9,16,35,66,133,261,527,1032,2079,4123,8244,16440,32895,65639,
%T A056336 131327,262380,524762,1049071,2098175,4195230,8390646,16779231,
%U A056336 33558392,67112892,134225919,268443306
%N A056336 Number of primitive (aperiodic) reversible string structures with n beads using exactly two different colors.
%C A056336 A string and its reverse are considered to be equivalent. Permuting the colors will not change the structure. Identical to A056331 for n>1.
%D A056336 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 A056336 a(n) = A056331(n) - A063524(n).
%t A056336 a[1] = 0;
%t A056336 a[n_] := DivisorSum[n, MoebiusMu[#] (2^(n/#-2) + 2^(Floor[n/#/2]-1))&];
%t A056336 Array[a, 30] (* _Jean-François Alcover_, Jun 29 2018 *)
%Y A056336 Column 2 of A276544.
%Y A056336 Cf. A056318, A056331, A063524.
%K A056336 nonn
%O A056336 1,3
%A A056336 _Marks R. Nester_