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Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols.
3

%I #6 Aug 22 2017 20:53:12

%S 1,1,2,5,7,32,34,194,390,2361,3970,46053,66674,613403,2139340,

%T 10016638,23424252,294722828,465082930,4972759447,15773188776,

%U 90323059973,196342666486,2587522616960,4967200045389,39800811833713

%N Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols.

%C See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent. Permuting the symbols will not change the structure.

%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)*A056432(n/d) where d|n.

%Y Cf. A056422.

%K nonn

%O 1,3

%A _Marks R. Nester_