A056422 -id:A056422 - cp's OEIS frontend

A056442 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols.

1, 1, 2, 5, 7, 32, 34, 194, 390, 2361, 3970, 46053, 66674, 613403, 2139340, 10016638, 23424252, 294722828, 465082930, 4972759447, 15773188776, 90323059973, 196342666486, 2587522616960, 4967200045389, 39800811833713

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]

Cf. A056422.

sum mu(d)*A056432(n/d) where d|n.

A056427 Number of primitive (period n) step cyclic shifted sequences using exactly five different symbols.

Original entry on oeis.org

0, 0, 0, 0, 6, 150, 400, 4080, 15480, 127812, 269340, 3493530, 5777190, 57262050, 210945176, 1030384035, 2493913170, 32176432430, 51785999300, 562228198086, 1805427491520, 10438821574410, 22865672706000

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. A056422.

sum mu(d)*A056418(n/d) where d|n.

cp's OEIS Frontend

A056442 Number of primitive (period n) step cyclic shifted sequence structures using a maximum of five different symbols.

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