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A056428
Number of primitive (period n) step cyclic shifted sequences using exactly six different symbols.
1
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]
FORMULA
a(n) = Sum_{d|n} mu(d)*A056419(n/d).
CROSSREFS
Sequence in context: A293615 A119631 A269048 * A056419 A060489 A088942
KEYWORD
nonn
STATUS
approved