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 A016579 #30 Mar 21 2024 06:19:01
%S A016579 9,1,6,2,9,0,7,3,1,8,7,4,1,5,5,0,6,5,1,8,3,5,2,7,2,1,1,7,6,8,0,1,1,0,
%T A016579 7,1,4,5,0,1,0,1,2,1,9,9,0,8,2,6,2,4,6,7,7,9,1,9,6,7,8,8,1,9,8,0,7,8,
%U A016579 5,3,6,5,7,3,7,9,6,3,0,4,9,0,2,4,2,7,0,5,5,1,0,9,6,7,6,0,9,2
%N A016579 Decimal expansion of log(5/2).
%H A016579 Harry J. Smith, <a href="/A016579/b016579.txt">Table of n, a(n) for n = 0..20000</a>
%H A016579 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%F A016579 Equals A016628 minus A002162. - _R. J. Mathar_, Jan 23 2009
%F A016579 log(5/2) = 2*Sum_{n >= 1} 1/(n*P(n, 7/3)*P(n-1, 7/3)), where P(n, x) denotes the n-th Legendre polynomial. The first 20 terms of the series gives the approximation log(5/2) = 0.916290731874155065183527(19...), correct to 24 decimal places. - _Peter Bala_, Mar 18 2024
%e A016579 0.916290731874155065183527211768011071450101219908262467791967881980785...
%t A016579 RealDigits[Log[5/2], 10, 120][[1]] (* _Vincenzo Librandi_, Apr 07 2020 *)
%o A016579 (PARI) default(realprecision, 20080); x=10*log(5/2); for (n=0, 20000, d=floor(x); x=(x-d)*10; write("b016579.txt", n, " ", d)); \\ _Harry J. Smith_, May 25 2009
%o A016579 (Magma) SetDefaultRealField(RealField(100)); Log(5/2); // _Vincenzo Librandi_, Apr 07 2020
%Y A016579 Cf. A016530 (continued fraction).
%K A016579 nonn,cons
%O A016579 0,1
%A A016579 _N. J. A. Sloane_
%E A016579 Leading zero removed and offset adjusted by _R. J. Mathar_, Feb 06 2009