A056443 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of six different symbols.

1, 1, 2, 5, 7, 33, 35, 212, 449, 2991, 5651, 74919, 126757, 1370979, 5653844, 31440622, 87796361, 1319721998, 2491714133, 31893714060, 121274777190, 832622957033, 2170594048581, 34308978905916

Offset

1,3

Comments

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent. Permuting the symbols will not change the structure.

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)*A056433(n/d) where d|n.

Crossrefs

Cf. A056423.

Sequence in context: A118786 A083777 A056442 * A042931 A085394 A041875

Adjacent sequences: A056440 A056441 A056442 * A056444 A056445 A056446

Keyword

nonn

Author

Marks R. Nester

Status

approved