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