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 A217598 #17 Oct 16 2020 06:28:23 %S A217598 3,1,8,1,7,3,6,5,2,2,0,9,0,5,6,8,7,4,3,7,6,4,4,9,1,6,7,2,7,5,6,8,4,7, %T A217598 1,0,4,5,1,3,5,1,9,8,5,4,4,9,2,9,0,9,5,3,2,3,8,9,3,1,1,5,3,7,2,5,9,3, %U A217598 5,3,9,3,6,2,3,0,6,7,7,4,6,6,9,0,9,7,0,0,6,7,4,6,3,4,0,0,6,0,5 %N A217598 Decimal expansion of the coefficient of asymptotic expression of m(n), the number of multiplicative compositions of n. %C A217598 From _Amiram Eldar_, Oct 16 2020: (Start) %C A217598 Equals -1/(rho * zeta'(rho)), where rho is the root of zeta(rho) = 2 (A107311). %C A217598 Equals lim_{k->oo} A173382(k)/k^rho. (End) %D A217598 Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, page 293. %e A217598 0.318173652... %t A217598 rho = x /. FindRoot[Zeta[x] == 2, {x, 2}, WorkingPrecision -> 100]; RealDigits[-1/(rho*Zeta'[rho])] // First %o A217598 (PARI) a217598={my(rho=solve(x=1.1,2,zeta(x)-2));-1/(rho*zeta'(rho))} \\ _Hugo Pfoertner_, Oct 16 2020 %Y A217598 Cf. A074206, A107311 (rho), A173382. %K A217598 nonn,cons %O A217598 0,1 %A A217598 _Jean-François Alcover_, Mar 19 2013