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Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.
1

%I #6 Aug 22 2017 20:53:08

%S 0,1,4,7,18,29,70,126,266,507,1054,2037,4158,8183,16488,32760,65790,

%T 131026,262654,524265,1049524,2097119,4196350,8388450,16781292,

%U 33554367,67116784,134217657,268451838

%N Number of primitive (aperiodic) reversible strings with n beads using exactly two different colors.

%C A string and its reverse are considered to be equivalent. Identical to A045625 for n>1.

%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 Sum mu(d)*A056309(n/d) where d|n.

%Y Cf. A045625.

%K nonn

%O 1,3

%A _Marks R. Nester_