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.

A372859 Decimal expansion of (1 + log(4))/16.

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%I A372859 #13 Nov 21 2024 08:28:57
%S A372859 1,4,9,1,4,3,3,9,7,5,6,9,9,9,3,1,6,3,6,7,7,1,5,4,0,1,5,1,8,2,2,7,2,0,
%T A372859 7,1,0,0,9,4,3,7,5,1,6,7,9,5,0,3,1,9,0,6,7,6,5,0,8,5,0,0,1,1,8,6,6,7,
%U A372859 4,2,0,2,7,4,6,2,1,1,8,3,9,4,5,0,7,3
%N A372859 Decimal expansion of (1 + log(4))/16.
%H A372859 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A372859 Equals Integral_{x=2..oo} log(x)/x^3 dx.
%e A372859 0.149143397569993163677154015182272071009437516795031...
%t A372859 s = Integrate[Log[x]/x^3, {x, 2, Infinity}]
%t A372859 d = N[s, 100]
%t A372859 First[RealDigits[d]]
%t A372859 N[1/16  (1 + Log[4]), 100]
%o A372859 (PARI) (log(4)+1)/16 \\ _Charles R Greathouse IV_, Nov 21 2024
%Y A372859 Cf. A372858, A372860, A372861.
%K A372859 nonn,cons
%O A372859 0,2
%A A372859 _Clark Kimberling_, Jun 09 2024