A240947 Decimal expansion of the moment of order 1 at Pi/3 of Ls_4, where Ls_4 is a generalized log-sine integral.

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

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-François Alcover, Aug 04 2014

Status

approved