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A196548 Decimal expansion of sum_{i>=0} 1/((6*i+2)*(6*i+5)). 1
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 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

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

REFERENCES

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

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)+...

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.

Sequence in context: A308319 A167380 A242613 * A274316 A075884 A030750

Adjacent sequences:  A196545 A196546 A196547 * A196549 A196550 A196551

KEYWORD

nonn,cons,easy

AUTHOR

R. J. Mathar, Oct 03 2011

STATUS

approved

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Last modified June 25 08:27 EDT 2021. Contains 345453 sequences. (Running on oeis4.)