A056419 -id:A056419 - cp's OEIS frontend

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

Marks R. Nester

nonn

See A056371 for an explanation of step shifts. Under step cyclic shifts, abcde, bdace, bcdea, cdeab and daceb etc. are equivalent.

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]

Cf. A056419, A056423.

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

A056438 Number of step cyclic shifted sequence structures using exactly six different symbols.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 1, 18, 59, 630, 1681, 28867, 60083, 757577, 3514504, 21424002, 64372109, 1024999230, 2026631203, 26920955243, 105501588415, 742299898741, 1974251382095, 31721456317841, 74052852505684

Offset: 1

Marks R. Nester

nonn

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.

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]

Column 6 of A288627.

Cf. A056419.

A056433(n)-A056432(n).

cp's OEIS Frontend

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

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