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.

A050386 Exponential reversion of Moebius function A008683.

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%I A050386 #22 Aug 15 2021 13:32:47
%S A050386 1,1,4,25,221,2505,34707,568177,10731571,229706718,5495040882,
%T A050386 145285035974,4206973447847,132410823640004,4500857134998016,
%U A050386 164322352411837139,6412953180173688644,266421162165751276297
%N A050386 Exponential reversion of Moebius function A008683.
%H A050386 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A050386 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A050386 E.g.f. A(x) satisfies: A(x) = x - Sum_{k>=2} mu(k) * A(x)^k / k!. - _Ilya Gutkovskiy_, Apr 22 2020
%t A050386 length = 40; Range[length]! InverseSeries[Sum[MoebiusMu[n] x^n/n!, {n, 1, length}] + O[x]^(length+1)][[3]] (* _Vladimir Reshetnikov_, Nov 07 2015 *)
%o A050386 (PARI) seq(n)= Vec(serlaplace(serreverse(sum(k=1, n, moebius(k)*x^k/k!) + O(x*x^n)))); \\ _Michel Marcus_, Apr 21 2020
%Y A050386 Cf. A008683, A050385.
%K A050386 nonn
%O A050386 1,3
%A A050386 _Christian G. Bower_, Nov 15 1999
%E A050386 Typo in name corrected by _Sean A. Irvine_, Aug 15 2021