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 A145425 #9 Apr 05 2025 22:22:43
%S A145425 0,3,4,2,1,2,7,9,4,1,2,2,0,5,5,1,5,5,9,2,7,3,3,2,0,9,8,3,0,0,1,4,1,6,
%T A145425 9,3,1,2,2,2,3,6,1,0,5,4,5,4,6,3,4,6,8,5,8,4,3,4,0,1,5,1,9,4,4,3,0,2,
%U A145425 8,6,8,3,7,6,7,3,0,2,8,8,1,5,2,2,1,5,0,2,8,6,2,1,3
%N A145425 Decimal expansion of Sum_{k>=1} 1/(k*(36k^2-1)).
%D A145425 Alexander Apelblat, Tables of Integrals and Series, Harri Deutsch, 1996, 4.1.27.
%H A145425 I. S. Gradsteyn and I. M. Ryzhik, <a href="http://mathtable.com/gr/index.html">Table of integrals, series and products</a> (6th ed.), 2000, (eq. 0.236.3).
%F A145425 Equals A016627+3*(A156057-1).
%F A145425 Equals (3/2) * log(3) + 2*log(2) - 3. - _Sean A. Irvine_, Apr 05 2025
%e A145425 0.03421279412205515...
%p A145425 2*ln(2)-3+3/2*ln(3) ;
%t A145425 RealDigits[3*Log[3]/2 + 2*Log[2] - 3, 10, 120, -1][[1]] (* _Amiram Eldar_, Aug 23 2024 *)
%Y A145425 Cf. A016627, A156057.
%K A145425 cons,easy,nonn
%O A145425 0,2
%A A145425 _R. J. Mathar_, Feb 08 2009