A255987 - OEIS

A255987

Decimal expansion of sum_{m,n >= 1} (-1)^(m + n)*log(m)*log(n)/(m*n*(m + n)).

0, 0, 8, 4, 6, 5, 4, 5, 9, 1, 8, 3, 2, 4, 3, 5, 6, 6, 0, 0, 0, 2, 2, 0, 4, 6, 5, 4, 8, 3, 6, 2, 2, 8, 8, 0, 7, 0, 9, 8, 2, 5, 8, 8, 3, 4, 8, 7, 6, 9, 5, 0, 5, 1, 0, 2, 9, 5, 4, 2, 7, 3, 3, 3, 1, 8, 8, 2, 5, 6, 5, 3, 1, 9, 8, 6, 3, 1, 3, 2, 9, 1, 5, 3, 2, 4, 3, 7, 2, 9, 4, 9, 3, 0, 0, 0, 2, 0, 2, 1, 2, 9, 5, 4, 4, 9

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..105.

David H. Bailey and Jonathan M. Borwein, Computation and structure of character polylogarithms.

EXAMPLE

0.008465459183243566000220465483622880709825883487695051...

MATHEMATICA

digits = 104; s = NSum[(-1)^(m + n)*Log[m]*Log[n]/(m*n*(m + n)), {m, 1, Infinity}, {n, 1, Infinity}, WorkingPrecision -> digits + 10, Method -> "AlternatingSigns"]; Join[{0, 0}, RealDigits[s, 10, digits] // First]

CROSSREFS

Sequence in context: A198500 A092727 A020842 * A372858 A266556 A199434

Adjacent sequences: A255984 A255985 A255986 * A255988 A255989 A255990

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Mar 13 2015

STATUS

approved