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 A083680 #16 Apr 28 2025 07:09:11
%S A083680 6,0,8,1,9,7,6,6,2,1,6,2,2,4,6,5,7,2,9,6,7,0,1,9,6,7,3,1,9,6,5,2,3,7,
%T A083680 0,4,8,5,7,9,8,5,6,3,5,1,9,3,7,4,1,2,9,6,4,2,1,0,2,1,4,8,6,2,1,6,1,5,
%U A083680 1,0,0,6,8,7,3,3,7,1,3,7,6,9,0,1,6,2,8,6,4,1,7,2,5,9,7,0,1,0,1,8,6,8,9,5
%N A083680 Decimal expansion of (3/2)*log(3/2).
%C A083680 More generally for x > 1: Sum_{k>=1} H(k)/x^k = x/(1-x)*log(1-1/x).
%H A083680 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%F A083680 Equals Sum_{k>=1} H(k)/3^k where H(k) is the k-th harmonic number.
%e A083680 0.60819766216224657296701967319652370485798563519374...
%t A083680 RealDigits[(3/2)*Log[3/2], 10, 120][[1]] (* _Amiram Eldar_, Apr 28 2025 *)
%o A083680 (PARI) log(3/2)*3/2 \\ _Charles R Greathouse IV_, May 15 2019
%Y A083680 Cf. A001008, A002805, A016627.
%K A083680 cons,nonn
%O A083680 0,1
%A A083680 _Benoit Cloitre_, Jun 15 2003