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Number of primitive (period n) step cyclic shifted sequence structures using a maximum of two different symbols.
2

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

%S 1,1,1,2,2,5,4,10,9,22,14,78,36,124,180,343,260,1329,804,3732,4428,

%T 9742,8384,47364,33778,108292,138756,408244,331184,2251604,1155734

%N Number of primitive (period n) step cyclic shifted sequence structures using a maximum of two 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)*A056429(n/d) where d divides n.

%Y Cf. A002730.

%K nonn

%O 1,4

%A _Marks R. Nester_