A056501 Number of primitive (period n) periodic palindromes using exactly five different symbols.

0, 0, 0, 0, 0, 0, 0, 60, 120, 960, 1800, 9300, 16800, 71400, 126000, 480000, 834120, 2968440, 5103000, 17354340, 29607600, 97566000, 165528000, 533264700, 901020120, 2854995360, 4809004080, 15050445900, 25292030400, 78417321240, 131542866000, 404936052000

Offset

1,8

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

Andrew Howroyd, Table of n, a(n) for n = 1..200

Formula

a(n) = Sum_{d|n} mu(d)*A056491(n/d).

Example

For example, aaabbb is not a (finite) palindrome but it is a periodic palindrome.

Crossrefs

Column 5 of A327878.

Cf. A056466, A056491.

Sequence in context: A309315 A275339 A049058 * A056491 A044247 A044628

Adjacent sequences: A056498 A056499 A056500 * A056502 A056503 A056504

Keyword

nonn

Author

Marks R. Nester

Extensions

Terms corrected by Andrew Howroyd, Sep 28 2019

Status

approved