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A096623 Decimal expansion of Integrate_{t=2..Infinity} 1/(t Log(t)(t^2-1)). +0
1
1, 4, 0, 0, 1, 0, 1, 0, 1, 1, 4, 3, 2, 8, 6, 9, 2, 6, 6, 8, 6, 9, 1, 7, 3, 0, 5, 2, 3, 4, 2, 9, 9, 7, 3, 3, 1, 7, 7, 5, 2, 7, 9, 2, 8, 1, 2, 7, 0, 6, 5, 8, 2, 8, 9, 4, 8, 9, 4, 6, 8, 7, 4, 3, 1, 1, 3, 0, 4, 9, 1, 4, 9, 9, 5, 1, 6, 1, 3, 6, 1, 0, 2, 7, 6, 0, 2, 6, 5, 3, 2, 0, 6, 4, 8, 6, 6, 6, 9, 6, 3, 4, 3, 4, 5 (list; cons; graph; listen)
OFFSET

0,2

COMMENT

Maximum value of the integral in the Riemann prime counting function.

LINKS

Eric Weisstein's World of Mathematics, Riemann Prime Counting Function

EXAMPLE

0.140010101...

MATHEMATICA

RealDigits[ NIntegrate[1/(t Log[t](t^2 - 1)), {t, 2, Infinity}, MaxRecursion -> 8, AccuracyGoal -> 115, WorkingPrecision -> 128]][[1]] (from Robert G. Wilson v Jul 05 2004)

CROSSREFS

Sequence in context: A101193 A013334 A156393 this_sequence A152889 A151905 A078669

Adjacent sequences: A096620 A096621 A096622 this_sequence A096624 A096625 A096626

KEYWORD

nonn,cons

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), Jul 01, 2004

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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