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A152419 Decimal expansion of 3-Pi^2/6-zeta(3). +0
1
1, 5, 3, 0, 0, 9, 0, 2, 9, 9, 9, 2, 1, 7, 9, 2, 7, 8, 1, 2, 7, 8, 4, 6, 6, 7, 1, 8, 4, 2, 5, 2, 4, 8, 2, 0, 0, 1, 6, 0, 6, 3, 8, 0, 6, 4, 5, 2, 7, 0, 2, 6, 8, 0, 4, 7, 2, 1, 7, 0, 2, 1, 5, 2, 8, 8, 1, 5, 4, 3, 2, 3, 8, 1, 0, 4, 8, 6, 0, 3, 5, 9, 7, 9, 9, 1, 5, 2, 2, 5, 7, 7, 0, 9, 0, 6, 0, 3, 6, 5, 4, 9, 7, 9, 6 (list; cons; graph; listen)
OFFSET

0,2

COMMENT

Consider the constants N(s)=sum_{n=2,3,...infinity} 1/(n^s*(n-1)) = s-sum_{l=2..s} Zeta(l), where Zeta is Riemann's zeta function. We have N(1)=1 and this constant here is N(3).

FORMULA

Equals 3-A013661-A002117.

EXAMPLE

Equals 0.153009029992179278127846671842524820016063806452702680...

MAPLE

evalf(3-Pi^2/6-Zeta(3));

CROSSREFS

Sequence in context: A046270 A139207 A137237 this_sequence A077602 A144481 A065469

Adjacent sequences: A152416 A152417 A152418 this_sequence A152420 A152421 A152422

KEYWORD

cons,easy,nonn

AUTHOR

R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 03 2008

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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