OFFSET
0,1
COMMENTS
Integral_{x=0..1} Product_{k=1..n} (1+x^k)^k dx ~ 3*2^(n*(n+1)/2 + 1)/n^3.
Integral_{x=0..1} Product_{k=1..n} (1+x^k) dx ~ 2^(n+2)/n^2.
Integral_{x=0..1} Product_{k>=1} (1-x^k) dx = A258232 = 0.3684125359314...
Integral_{x=0..1} Product_{k=1..n} (1-x^k)^n dx ~ 1/n.
Integral_{x=0..1} Product_{k=1..n} (1+x^k)^n dx ~ 2^(n^2 + 2)/n^3.
LINKS
Vaclav Kotesovec, The integration of q-series
EXAMPLE
0.298783365106567298770953772114...
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Vaclav Kotesovec, May 29 2015
EXTENSIONS
More digits from Vaclav Kotesovec, Oct 10 2023
STATUS
approved