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A240947 Decimal expansion of the moment of order 1 at Pi/3 of Ls_4, where Ls_4 is a generalized log-sine integral. 0
2, 5, 5, 5, 4, 8, 5, 4, 1, 2, 9, 2, 9, 0, 7, 6, 2, 8, 5, 5, 2, 3, 8, 9, 7, 6, 1, 6, 8, 3, 3, 3, 1, 3, 1, 0, 3, 7, 7, 3, 7, 1, 7, 5, 2, 5, 3, 6, 3, 6, 6, 0, 7, 5, 4, 2, 5, 1, 4, 7, 1, 6, 1, 9, 7, 9, 8, 6, 1, 8, 1, 2, 1, 5, 5, 2, 5, 6, 5, 3, 3, 2, 1, 4, 8, 2, 5, 8, 8, 6, 2, 6, 4, 0, 1, 2, 4, 8, 0, 4, 5, 7, 7, 8, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Jonathan M. Borwein, Armin Straub, Log-sine evaluations of Mahler measures, arXiv:1103.3893 [math.CA], (20-March-2011)

FORMULA

-integral_(0..Pi/3) t*log(2*sin(t/2))^2 dt.

-(1/2)*sum_(k=1..infinity) 1/(Binomial(2*k, k)*k^4).

-17*Pi^4/6480.

EXAMPLE

-0.255548541292907628552389761683331310377371752536366...

MATHEMATICA

RealDigits[-17*Pi^4/6480, 10, 105] // First

CROSSREFS

Sequence in context: A246900 A277086 A229710 * A023398 A186501 A235452

Adjacent sequences:  A240944 A240945 A240946 * A240948 A240949 A240950

KEYWORD

nonn,cons,easy

AUTHOR

Jean-Fran├žois Alcover, Aug 04 2014

STATUS

approved

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Last modified May 6 19:52 EDT 2021. Contains 343586 sequences. (Running on oeis4.)