cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A056282 Number of primitive (aperiodic) word structures of length n which contain exactly six different symbols.

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%I A056282 #16 Apr 15 2021 21:40:49
%S A056282 0,0,0,0,0,1,21,266,2646,22827,179487,1323651,9321312,63436352,
%T A056282 420693273,2734926292,17505749898,110687248392,693081601779,
%U A056282 4306078872557,26585679462783,163305339165738,998969857983405
%N A056282 Number of primitive (aperiodic) word structures of length n which contain exactly six different symbols.
%C A056282 Permuting the alphabet will not change a word structure. Thus aabc and bbca have the same structure.
%D A056282 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]
%F A056282 a(n) = Sum_{n > 0, d|n} mu(d)*A000770(n/d).
%F A056282 G.f.: Sum_{k>=1} mu(k) * x^(6*k) / Product_{j=1..6} (1 - j*x^k). - _Ilya Gutkovskiy_, Apr 15 2021
%Y A056282 Column 6 of A137651.
%Y A056282 Cf. A056271.
%K A056282 nonn
%O A056282 1,7
%A A056282 _Marks R. Nester_