A056415 -id:A056415 - cp's OEIS frontend

A056424 Number of primitive (period n) step cyclic shifted sequences using exactly two different symbols.

0, 1, 2, 3, 4, 8, 8, 18, 18, 38, 28, 142, 72, 234, 360, 669, 520, 2606, 1608, 7338, 8856, 19370, 16768, 94308, 67556, 216200, 277512, 815310, 662368, 4499852, 2311468, 8465496, 13045076, 31592762, 40937592, 159769394, 103197488, 401912086

Offset: 1

Marks R. Nester

nonn

Identical to A002730 for n>1.

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. A002730.

a(n) = sum( d divides n, mu(d) * A056415(n/d) ).

Added more terms (from A002730), Joerg Arndt, Aug 27 2014

A056434 Number of step cyclic shifted sequence structures using exactly two different symbols.

Original entry on oeis.org

0, 1, 1, 3, 2, 7, 4, 13, 10, 25, 14, 87, 36, 129, 183, 356, 260, 1345, 804, 3759, 4433, 9757, 8384, 47461, 33780, 108329, 138766, 408375, 331184, 2251815, 1155734

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 2 of A288627.

Cf. A056415.

A056429(n)-1.

cp's OEIS Frontend

A056424 Number of primitive (period n) step cyclic shifted sequences using exactly two different symbols.

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