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Number of primitive (period n) step cyclic shifted sequences using exactly three different symbols.
1

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

%S 0,0,1,6,9,55,51,252,379,1491,1611,12236,10245,57057,121711,345888,

%T 474489,3589099,3397143,21983298,41570721,142617777,186027579,

%U 1476401628,1694455311,8146623393,15690140775

%N Number of primitive (period n) step cyclic shifted sequences using exactly 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)*A056416(n/d) where d|n.

%Y Cf. A056420.

%K nonn

%O 1,4

%A _Marks R. Nester_