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.

A354056 Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + sinh(x).

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%I A354056 #6 May 17 2022 07:25:59
%S A354056 1,-2,1,-4,21,-196,1023,-5440,65145,-1237456,10925883,-69882880,
%T A354056 1994183205,-39099282496,372390766023,-6270496768000,158096182329585,
%U A354056 -3268815510804736,64115697136312563,-1009052458754375680,27389518837925527965,-924645800211698308096,19391677044464348893503
%N A354056 Product_{n>=1} 1 / (1 - x^n)^(a(n)/n!) = 1 + sinh(x).
%F A354056 E.g.f.: Sum_{k>=1} mu(k) * log(1 + sinh(x^k)) / k.
%t A354056 nmax = 23; CoefficientList[Series[Sum[MoebiusMu[k] Log[1 + Sinh[x^k]]/k, {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest
%Y A354056 Cf. A003704, A353608, A353910, A354055, A354063, A354064, A354065, A354066.
%K A354056 sign
%O A354056 1,2
%A A354056 _Ilya Gutkovskiy_, May 16 2022