OFFSET
2,1
COMMENTS
Conjecture: sequence of denominators is A141459.
EXAMPLE
2*Pi^2/3, 0, 8*Pi^4/15, 0, 32*Pi^6/21, 0, 128*Pi^8/15, 0, 2560*Pi^10/33, ...
MATHEMATICA
a[n_] := (-1/Pi^n)*Numerator[Integrate[Log[1 - 1/x]^n, {x, 0, 1}]]; Table[Print[an = a[n]]; an, {n, 2, 30}]
CROSSREFS
KEYWORD
nonn,frac
AUTHOR
Jean-François Alcover, Jan 30 2013
STATUS
approved