A196548 Decimal expansion of Sum_{i>=0} 1/((6*i+2)*(6*i+5)).

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, 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, 6, 6, 1, 7, 6, 8, 4

Offset

0,2

Comments

Sum of the inverse elements of the sequence 10, 88, 238, 460, 754, 1120, 1558,...

References

L. B. W. Jolley, Summation of Series, Dover, 1961, eq. (263) on page 48.

J. Rivaud, Analyse, Séries, équations différentielles, Mathématiques supérieures et spéciales, Premier cycle universitaire, Vuibert, 1981, Exercice 3, p. 132.

Links

Table of n, a(n) for n=0..74.

Formula

Equals (Pi/sqrt(3)-log(2))/9 = 1/(2*5) +1/(8*11) +1/(14*17)+...

Equals (1/3) * A193534. - Bernard Schott, Jan 28 2022

Example

0.124516909297141393464094015131553...

Maple

(Pi/sqrt(3)-log(2))/9 ; evalf(%) ;

Mathematica

RealDigits[(Pi/Sqrt[3] - Log[2])/9, 10, 75][[1]] (* Bruno Berselli, Dec 20 2011 *)

Crossrefs

Cf. A093602, A002162, A193534.

Sequence in context: A308319 A167380 A242613 * A359720 A274316 A075884

Adjacent sequences: A196545 A196546 A196547 * A196549 A196550 A196551

Keyword

nonn,cons,easy

Author

R. J. Mathar, Oct 03 2011

Status

approved