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A069284 Decimal expansion of Li(2) = gamma + ln(ln(2)) + sum_{k=1..inf} ln(2)^k / ( k*k! ). 1
1, 0, 4, 5, 1, 6, 3, 7, 8, 0, 1, 1, 7, 4, 9, 2, 7, 8, 4, 8, 4, 4, 5, 8, 8, 8, 8, 9, 1, 9, 4, 6, 1, 3, 1, 3, 6, 5, 2, 2, 6, 1, 5, 5, 7, 8, 1, 5, 1, 2, 0, 1, 5, 7, 5, 8, 3, 2, 9, 0, 9, 1, 4, 4, 0, 7, 5, 0, 1, 3, 2, 0, 5, 2, 1, 0, 3, 5, 9, 5, 3, 0, 1, 7, 2, 7, 1, 7, 4, 0, 5, 6, 2, 6, 3, 8, 3, 3, 5, 6, 3, 0, 6, 0, 2 (list; constant; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Li(x) = Li(2) + integral 1/ln(t) dt from 2 to x > 2.

LINKS

Eric Weisstein's World of Mathematics, Logarithmic Integral

EXAMPLE

1.0451637801174927848445888891946131365226155781512015758329...

MATHEMATICA

RealDigits[ LogIntegral[2], 10, 105][[1]] (from Robert G. Wilson v Oct 08 2004)

CROSSREFS

Cf. A069285 (continued fraction), A057754, A057794, A060851.

Euler's constant gamma: A001620, ln(2): A002162, k*k!: A001563.

Sequence in context: A131131 A073241 A094642 * A068447 A199384 A178233

Adjacent sequences:  A069281 A069282 A069283 * A069285 A069286 A069287

KEYWORD

nonn,cons

AUTHOR

Frank.Ellermann(AT)t-online.de, Mar 13 2002

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Last modified February 14 18:09 EST 2012. Contains 205663 sequences.