A056512 Number of periodic palindromic structures of length n using exactly six different symbols.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 13, 21, 154, 266, 1488, 2646, 12857, 22827, 101485, 179487, 752647, 1323652, 5325239, 9321312, 36387288, 63436373, 242085648, 420693273, 1577871106, 2734926558, 10120485512, 17505749898, 64096921939, 110687251039, 401885424357

Offset

1,12

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) = A056507(n) - A056506(n).

Inverse Moebius transform of A056523. - 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 k=6 of A285012.

Cf. A056475, A056506, A056507, A056523.

Sequence in context: A203854 A325448 A056523 * A362098 A158998 A122559

Adjacent sequences: A056509 A056510 A056511 * A056513 A056514 A056515

Keyword

nonn

Author

Marks R. Nester

Extensions

a(16)-a(26) from Andrew Howroyd, Apr 07 2017

Terms a(27) and beyond from Andrew Howroyd, Oct 01 2019

Status

approved