A056428 Number of primitive (period n) step cyclic shifted sequences using exactly six different symbols.

0, 0, 0, 0, 0, 60, 360, 6030, 35280, 410976, 1174896, 19948140, 43022700, 543757500, 2524673904, 15399112410, 46338868800, 737917430820, 1459120076400, 19381180579776, 75959665269480, 534453891382764

Offset

1,6

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

a(n) = Sum_{d|n} mu(d)*A056419(n/d).

Crossrefs

Cf. A056419, A056423.

Sequence in context: A293615 A119631 A269048 * A056419 A060489 A088942

Adjacent sequences: A056425 A056426 A056427 * A056429 A056430 A056431

Keyword

nonn

Author

Marks R. Nester

Status

approved