A056426 Number of primitive (period n) step cyclic shifted sequences using exactly four different symbols.

0, 0, 0, 3, 12, 136, 204, 1434, 3520, 20688, 31956, 317374, 390364, 2973332, 8504708, 32469954, 61276740, 622084744, 790198476, 6798276744, 17290257884, 79394924652, 138325216092, 1460955163540

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..24.

Formula

Sum mu(d)*A056417(n/d) where d|n.

Crossrefs

Cf. A056421.

Sequence in context: A280115 A264149 A035087 * A056417 A363412 A322227

Adjacent sequences: A056423 A056424 A056425 * A056427 A056428 A056429

Keyword

nonn

Author

Marks R. Nester

Status

approved