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A056522 Number of primitive (period n) periodic palindromic structures using exactly five different symbols. 3
0, 0, 0, 0, 0, 0, 0, 1, 1, 10, 15, 85, 140, 618, 1050, 4064, 6951, 24914, 42525, 145057, 246730, 814200, 1379400, 4446545, 7508501, 23798460, 40075034, 125435695, 210766920, 653516168, 1096190550, 3374551384, 5652751636, 17305626334, 28958095545, 88274117232 (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) = A056516(n) - A056515(n).

Moebius transform of A056511. - 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. This should be different from A056511.

CROSSREFS

Column 5 of A285037.

Cf. A056484, A056511, A056515, A056516.

Sequence in context: A278921 A035407 A020139 * A056511 A166626 A238759

Adjacent sequences:  A056519 A056520 A056521 * A056523 A056524 A056525

KEYWORD

nonn

AUTHOR

Marks R. Nester

EXTENSIONS

a(17)-a(28) from Andrew Howroyd, Apr 09 2017

Terms a(29) and beyond from Andrew Howroyd, Oct 01 2019

STATUS

approved

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Last modified February 22 12:00 EST 2020. Contains 332135 sequences. (Running on oeis4.)