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

1,1

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]

Links

Table of n, a(n) for n=1..22.

Formula

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

Crossrefs

Sequence in context: A358728 A373568 A189315 * A032296 A052648 A020995

Adjacent sequences: A056419 A056420 A056421 * A056423 A056424 A056425

Keyword

nonn

Author

Marks R. Nester

Status

approved