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A056519 Number of primitive (period n) periodic palindromic structures using exactly three different symbols. 4

%I #13 Oct 01 2019 19:49:51

%S 0,0,0,1,1,5,6,18,25,63,90,202,301,650,965,2016,3025,6220,9330,18970,

%T 28495,57650,86526,174210,261624,525693,788945,1582462,2375101,

%U 4759482,7141686,14300976,21457735,42951825,64439003,128946888,193448101,387037370,580606145,1161485370

%N Number of primitive (period n) periodic palindromic structures using exactly three 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="/A056519/b056519.txt">Table of n, a(n) for n = 1..200</a>

%F a(n) = A056514(n) - A056513(n).

%F Moebius transform of A056509. - _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 3 of A285037.

%Y Cf. A056482, A056509, A056513, A056514.

%K nonn

%O 1,6

%A _Marks R. Nester_

%E a(17)-a(35) from _Andrew Howroyd_, Apr 08 2017

%E Terms a(36) and beyond from _Andrew Howroyd_, Oct 01 2019

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Last modified April 23 20:33 EDT 2024. Contains 371916 sequences. (Running on oeis4.)