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A125313 Decimal expansion of 2*exp(-gamma). +0
1
1, 1, 2, 2, 9, 1, 8, 9, 6, 7, 1, 3, 3, 7, 7, 0, 3, 3, 9, 6, 4, 8, 2, 8, 6, 4, 2, 9, 5, 8, 1, 7, 6, 1, 5, 7, 3, 5, 3, 1, 4, 2, 0, 7, 7, 3, 8, 5, 0, 3, 0, 6, 3, 3, 6, 3, 0, 8, 3, 1, 8, 1, 5, 2, 0, 9, 0, 1, 7, 5, 9, 3, 4, 1, 4, 8, 5, 7, 1, 2, 7, 4, 2, 6, 5, 7, 4, 2, 3, 1, 7, 8, 6, 8, 4, 2, 8, 7, 1, 7, 5, 3, 4, 6, 3 (list; cons; graph; listen)
OFFSET

1,3

COMMENT

"... the prediction here is that Pi(x) ~ a*x/log x where a= 2e-gamma = 1.1229..., in conflict with the Prime Number Theorem" - from the Niven et al. reference.

REFERENCES

I. Niven, H. S. Zuckerman & H. L. Montgomery, An Introduction to the Theory of Numbers, 5th Ed., John Wiley & Sons, Inc. NY, 1991, page 408.

LINKS

S. Plouffe, Plouffe's Inverter.

S. K. Wilson and B. R. Duffy, An asymptotic analysis of small holes in thin fluid layers.

FORMULA

2*A080130 = 2*A001113^-A001620 = 2/A073004 = 2/A068985^A001620.

EXAMPLE

1.12291896713377033964828642958176157353142077385030633630831815209...

MATHEMATICA

RealDigits[2*E^-EulerGamma, 10, 111][[1]]

CROSSREFS

Sequence in context: A069561 A011148 A048650 this_sequence A082838 A074961 A037289

Adjacent sequences: A125310 A125311 A125312 this_sequence A125314 A125315 A125316

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Dec 08 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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