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Number of primitive (period n) step cyclic shifted sequences using a maximum of three different symbols.
2

%I #6 Aug 22 2017 20:53:11

%S 3,3,7,15,21,79,75,306,433,1605,1695,12662,10461,57759,122791,347895,

%T 476049,3596917,3401967,22005312,41597289,142675887,186077883,

%U 1476684552,1694657979,8147271993,15690973311

%N Number of primitive (period n) step cyclic shifted sequences using a maximum of three different symbols.

%C See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are 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)*A056411(n/d) where d|n.

%K nonn

%O 1,1

%A _Marks R. Nester_