A056511 - OEIS

%I #22 Oct 01 2019 18:34:31

%S 0,0,0,0,0,0,0,1,1,10,15,85,140,618,1050,4065,6951,24915,42525,145067,

%T 246730,814215,1379400,4446631,7508501,23798600,40075035,125436313,

%U 210766920,653517228,1096190550,3374555449,5652751651,17305633285,28958095545,88274142232

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

%D 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]

%H Andrew Howroyd, <a href="/A056511/b056511.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = A056506(n) - A056505(n).

%F Inverse Moebius transform of A056522. - _Andrew Howroyd_, Oct 01 2019

%e For example, aaabbb is not a (finite) palindrome but it is a periodic palindrome. Permuting the symbols will not change the structure.

%Y Column 5 of A285012.

%Y Cf. A056474, A056505, A056506, A056522.

%K nonn

%O 1,10

%A _Marks R. Nester_

%E a(17)-a(28) from _Andrew Howroyd_, Apr 07 2017

%E Terms a(29) and beyond from _Andrew Howroyd_, Oct 01 2019