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A152651 Decimal expansion of 3*Zeta(5) - Zeta(3)*Pi^2/6. 0
1, 1, 3, 3, 4, 7, 8, 9, 1, 5, 1, 3, 2, 8, 1, 3, 6, 6, 0, 7, 9, 7, 0, 1, 1, 0, 1, 7, 8, 8, 5, 9, 7, 6, 9, 3, 2, 0, 8, 9, 0, 9, 1, 2, 9, 1, 8, 4, 5, 6, 0, 4, 2, 2, 7, 2, 2, 6, 7, 5, 5, 7, 5, 6, 6, 5, 6, 6, 9, 5, 7, 3, 5, 2, 1, 2, 2, 4, 0, 2, 4, 5, 9, 7, 7, 7, 4, 4, 9, 4, 7, 1, 4, 9, 6, 5, 0, 4, 0, 1, 7, 6, 6, 7, 6 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

A division by 2 is missing in Mezo's penultimate formula on page 4.

REFERENCES

David Borwein and J. M. Borwein, On an intruiguing integral and some series related to zeta(4), Proc. Am. Math. Soc. 123 (1995) 1191-1198.

LINKS

Istvan Mezo, Summation of Hyperharmonic Numbers, arXiv:0811.0042 [math.CO].

FORMULA

Equals sum_(j=1..infinity) H(j)/j^4 = 3*A013663 - A002117*A013661 where H(j)=A001008(j)/A002805(j).

EXAMPLE

Equals 1.1334789151328136607970110178859769320890912918456042272...

CROSSREFS

Sequence in context: A155689 A051263 A058674 * A091973 A050066 A050064

Adjacent sequences:  A152648 A152649 A152650 * A152652 A152653 A152654

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 10 2008

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Last modified February 14 08:18 EST 2012. Contains 205608 sequences.