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

1,1

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..21.

Formula

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

Crossrefs

Sequence in context: A270455 A318414 A106272 * A056347 A271332 A244024

Adjacent sequences: A056420 A056421 A056422 * A056424 A056425 A056426

Keyword

nonn

Author

Marks R. Nester

Status

approved