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.
%I A032183 #25 Aug 06 2024 21:14:01 %S A032183 3,12,84,876,12180,211692,4415124,107430636,2987482260,93461994732, %T A032183 3248794543764,124223034396396,5181679901192340,234153759187726572, %U A032183 11395053576644512404,594148263021558162156 %N A032183 "CIJ" (necklace, indistinct, labeled) transform of 3,3,3,3... %H A032183 Christian G. Bower, <a href="/transforms2.html">Transforms (2)</a> %H A032183 <a href="/index/Ne#necklaces">Index entries for sequences related to necklaces</a> %F A032183 From _Vladeta Jovovic_, Sep 14 2003: (Start) %F A032183 E.g.f.: -log(4-3*exp(x)). %F A032183 a(n) = Sum_{k=1..n} 3^k*(k-1)!*Stirling2(n, k). (End) %F A032183 a(n) ~ (n-1)! / (log(4/3))^n. - _Vaclav Kotesovec_, Mar 29 2014 %F A032183 a(n) = 3 * (1 + Sum_{k=1..n-1} binomial(n-1,k-1) * a(k)). - _Ilya Gutkovskiy_, Aug 09 2020 %t A032183 Table[ PolyLog[n, 3/4], {n, 0, -15, -1}] (* _Robert G. Wilson v_, Aug 05 2010 *) %o A032183 (PARI) a(n)=polylog(1-n,3/4) \\ _Charles R Greathouse IV_, Aug 27 2014 %Y A032183 Cf. A000629, A027882. %K A032183 nonn %O A032183 1,1 %A A032183 _Christian G. Bower_