A056511 Number of periodic palindromic structures of length n using exactly five different symbols.

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

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