A056425 Number of primitive (period n) step cyclic shifted sequences using exactly three different symbols.

0, 0, 1, 6, 9, 55, 51, 252, 379, 1491, 1611, 12236, 10245, 57057, 121711, 345888, 474489, 3589099, 3397143, 21983298, 41570721, 142617777, 186027579, 1476401628, 1694455311, 8146623393, 15690140775

Offset

1,4

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..27.

Formula

sum mu(d)*A056416(n/d) where d|n.

Crossrefs

Cf. A056420.

Sequence in context: A340819 A254207 A098662 * A056416 A061401 A359800

Adjacent sequences: A056422 A056423 A056424 * A056426 A056427 A056428

Keyword

nonn

Author

Marks R. Nester

Status

approved