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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 26 23:23 EDT 2021. Contains 347673 sequences. (Running on oeis4.)