A056422 Number of primitive (period n) step cyclic shifted sequences using a maximum of five different symbols.

5, 10, 30, 105, 196, 1460, 2010, 13950, 37050, 246542, 445510, 5204180, 7832180, 72701620, 254689426, 1196199375, 2805046960, 35322773200, 55770979190, 596439488166, 1892294576710, 10837222569140

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)*A056413(n/d) where d|n.