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A217706 Decimal expansion of -Sum( n>=2, (-1)^n*log(1 - 1/(n*(n-1))) ). 0
5, 6, 6, 5, 5, 3, 1, 0, 9, 7, 5, 8, 6, 0, 3, 0, 3, 0, 4, 5, 3, 1, 3, 9, 4, 1, 0, 1, 5, 2, 0, 5, 3, 7, 9, 2, 7, 9, 7, 2, 5, 4, 6, 2, 7, 2, 3, 9, 9, 7, 0, 9, 6, 5, 5, 2, 1, 7, 0, 4, 5, 5, 8, 4, 1, 0, 4, 5, 1, 0, 0, 7, 6, 3, 0, 8, 9, 7, 9, 6, 5, 0, 7, 2, 8, 5, 9, 2, 8, 6, 0, 8, 7, 5, 7, 1, 6, 9, 4, 6, 9, 8, 7, 1, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..104.

StackExchange, A challenging alternating infinite series involving ln

EXAMPLE

The sum (without the minus sign) is negative: -0.56655310975860303045313941015205379279725462723997096552170...

MATHEMATICA

2*ArcCsch[2] + Log[2] + LogGamma[(3 - GoldenRatio)/2] + LogGamma[GoldenRatio/2] - LogGamma[1 - GoldenRatio/2] - LogGamma[(GoldenRatio - 1)/2] // RealDigits[#, 10, 100]& // First

CROSSREFS

Sequence in context: A153415 A154010 A258750 * A064864 A004553 A074826

Adjacent sequences:  A217703 A217704 A217705 * A217707 A217708 A217709

KEYWORD

nonn,cons

AUTHOR

Jean-Fran├žois Alcover, Mar 20 2013

EXTENSIONS

Offset corrected by and more terms from Rick L. Shepherd, Jan 13 2014

STATUS

approved

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Last modified August 20 04:14 EDT 2019. Contains 326139 sequences. (Running on oeis4.)