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 A196548 #19 Jan 28 2022 07:43:17 %S A196548 1,2,4,5,1,6,9,0,9,2,9,7,1,4,1,3,9,3,4,6,4,0,9,4,0,1,5,1,3,1,5,5,3,2, %T A196548 4,0,4,6,7,6,1,8,4,5,7,0,8,1,3,8,7,2,5,7,9,3,8,8,0,0,5,4,7,3,2,1,6,3, %U A196548 6,6,1,7,6,8,4 %N A196548 Decimal expansion of Sum_{i>=0} 1/((6*i+2)*(6*i+5)). %C A196548 Sum of the inverse elements of the sequence 10, 88, 238, 460, 754, 1120, 1558,... %D A196548 L. B. W. Jolley, Summation of Series, Dover, 1961, eq. (263) on page 48. %D A196548 J. Rivaud, Analyse, Séries, équations différentielles, Mathématiques supérieures et spéciales, Premier cycle universitaire, Vuibert, 1981, Exercice 3, p. 132. %F A196548 Equals (Pi/sqrt(3)-log(2))/9 = 1/(2*5) +1/(8*11) +1/(14*17)+... %F A196548 Equals (1/3) * A193534. - _Bernard Schott_, Jan 28 2022 %e A196548 0.124516909297141393464094015131553... %p A196548 (Pi/sqrt(3)-log(2))/9 ; evalf(%) ; %t A196548 RealDigits[(Pi/Sqrt[3] - Log[2])/9, 10, 75][[1]] (* _Bruno Berselli_, Dec 20 2011 *) %Y A196548 Cf. A093602, A002162, A193534. %K A196548 nonn,cons,easy %O A196548 0,2 %A A196548 _R. J. Mathar_, Oct 03 2011