A380205 - OEIS

A380205

Decimal expansion of the generalized log-sine integral with k = 0, n = 3, m = 3, from {0 .. 4 Pi/3} (negated).

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..100.

Jonathan M. Borwein and Armin Straub, Special Values of Generalized Log-sine Integrals, ISSAC '11: Proceedings of the 36th International Symposium on Symbolic and Algebraic Computation, 2011, pp. 43-50.

Armin Straub, A Mathematica package for evaluating log-sine integrals

EXAMPLE

-4.260288739151063174322652953730500534988887875869780138153916257727...

MAPLE

Digits:= 100: evalf(Int(log(3*sin(x/2))^2, x = 0..4*Pi/3)); # Peter Luschny, Jan 28 2025

MATHEMATICA

NIntegrate[Log[3*Sin[x/2]]^2, {x, 2*Pi/3, 2*Pi}, WorkingPrecision -> 100]

CROSSREFS

Cf. A379042, A379273, A380206.

Sequence in context: A180109 A019170 A107504 * A141674 A329323 A178394

Adjacent sequences: A380202 A380203 A380204 * A380206 A380207 A380208

KEYWORD

nonn,cons

AUTHOR

Detlef Meya, Jan 16 2025

STATUS

approved