A056423 Number of primitive (period n) step cyclic shifted sequences using a maximum of six different symbols.

6, 15, 50, 210, 456, 4220, 6960, 57330, 188810, 1518558, 3302916, 45916780, 83747280, 933074430, 3920355200, 22075393725, 62230996500, 940379117630, 1781757016320, 22856963695482, 87052415634120

Offset: 1

Author

Marks R. Nester

Keywords

• nonn

Comments

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent.

References

• 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]

Formula

sum mu(d)*A056414(n/d) where d|n.