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

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

%S 0,0,0,12,120,780,4212,20412,93360,409260,1749780,7338000,30394560,

%T 124700928,508291692,2061586800,8332140720,33585682920,135116412660,

%U 542785390680,2178110585388,8733343485120

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

%C A string and its reverse are considered to be equivalent.

%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)*A056311(n/d) where d|n.

%Y Cf. A056315.

%K nonn

%O 1,4

%A _Marks R. Nester_