A056433 Step cyclic shifted sequence structures using a maximum of six different symbols.

1, 2, 3, 7, 8, 37, 36, 219, 452, 3000, 5652, 74961, 126758, 1371016, 5653854, 31440841, 87796362, 1319722484, 2491714134, 31893717065, 121274777228, 832622962686, 2170594048582, 34308978981089

Offset

1,2

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

Use de Bruijn's generalization of Polya's enumeration theorem as discussed in reference.

Crossrefs

Cf. A056414.

Sequence in context: A056036 A056432 A271506 * A288628 A064669 A068342

Adjacent sequences: A056430 A056431 A056432 * A056434 A056435 A056436

Keyword

nonn

Author

Marks R. Nester

Status

approved