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A056501 Number of primitive (period n) periodic palindromes using exactly five different symbols. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 5 17:03 EDT 2020. Contains 333245 sequences. (Running on oeis4.)