A056316 Number of primitive (aperiodic) reversible strings with n beads using a maximum of five different colors.

5, 10, 70, 310, 1620, 7790, 39370, 195300, 978050, 4882740, 24421870, 122069940, 610390620, 3051757490, 15258982680, 76293945000, 381470703120, 1907348623450, 9536748046870, 47683715818440

Offset

1,1

Comments

A string and its reverse are considered to be equivalent.

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..20.

Formula

Sum mu(d)*A032122(n/d) where d|n.

Crossrefs

Column 5 of A284871.

Cf. A045625.

Sequence in context: A218540 A174937 A180851 * A156102 A120834 A089745

Adjacent sequences: A056313 A056314 A056315 * A056317 A056318 A056319

Keyword

nonn

Author

Marks R. Nester

Status

approved