A056522 Number of primitive (period n) periodic palindromic structures using exactly five different symbols.

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

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 A339314 A166626

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