

A056511


Number of periodic palindromic structures of length n using exactly five different symbols.


3



0, 0, 0, 0, 0, 0, 0, 1, 1, 10, 15, 85, 140, 618, 1050, 4065, 6951, 24915, 42525, 145067, 246730, 814215, 1379400, 4446631, 7508501, 23798600, 40075035, 125436313, 210766920, 653517228, 1096190550, 3374555449, 5652751651, 17305633285, 28958095545, 88274142232
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OFFSET

1,10


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) = A056506(n)  A056505(n).
Inverse Moebius transform of A056522.  Andrew Howroyd, Oct 01 2019


EXAMPLE

For example, aaabbb is not a (finite) palindrome but it is a periodic palindrome. Permuting the symbols will not change the structure.


CROSSREFS

Column 5 of A285012.
Cf. A056474, A056505, A056506, A056522.
Sequence in context: A035407 A020139 A056522 * A339314 A166626 A238759
Adjacent sequences: A056508 A056509 A056510 * A056512 A056513 A056514


KEYWORD

nonn


AUTHOR

Marks R. Nester


EXTENSIONS

a(17)a(28) from Andrew Howroyd, Apr 07 2017
Terms a(29) and beyond from Andrew Howroyd, Oct 01 2019


STATUS

approved



