A178172 Numerators of coefficients in 1/(log(1+x)*log(1-x)) - 5/12 + 1/x^2 power series.

7, 2699, 103669, 1088429, 40938135737, 78638210671, 294591811249, 89540991316447487, 72003397880992782229, 254817218437479631303, 297853453602437702393397023, 3199628601055396119933058397, 558554606804743021307746074767

Offset: 1

Author

Groux Roland, Dec 17 2010

Keywords

• nonn

Comments

a(n) is the numerator of the moment of order n for the density 1/((log(1 + 1/sqrt(x))*(log^2(1/sqrt(x) - 1) + Pi^2)) over the interval 0..1.

Programs

Mathematica

Rest@ Union@ Numerator@ CoefficientList[ Series[1/(Log[1 + x]*Log[1 - x]) - 5/12 + 1/x^2, {x, 0, 26}], x]