login
A144875
Decimal expansion of integral of pi_q from 0 to 1.
0
1, 7, 2, 4, 9, 9, 1, 1, 2, 6, 0, 3, 4, 5, 0, 0, 0, 8, 6, 8, 7, 3, 4, 4, 1, 6, 4, 9, 4, 6, 9, 1, 4, 2, 7, 1, 9, 9, 3, 0, 7, 3, 2, 4, 6, 2, 8, 3, 7, 0, 3, 9, 3, 8, 6, 1, 2, 7, 9, 6, 2, 3, 0, 7, 0, 2, 0, 2, 5, 5, 9, 6, 3, 6, 9, 6, 2, 1, 5, 4, 6, 0, 7, 4, 4, 9, 1, 5, 9, 9, 7, 1, 5, 8, 1, 2, 8, 8, 0, 0, 7, 8, 5, 9, 3
OFFSET
1,2
LINKS
Eric Weisstein's World of Mathematics, q-Pi
EXAMPLE
1.7249911260345000868...
MATHEMATICA
pi[q_] := (1 - q^2)/4*EllipticTheta[2, 0, Sqrt[q]]^2; RealDigits[ NIntegrate[pi[q], {q, 0, 1}, WorkingPrecision -> 105], 10, 105] // First (* Jean-François Alcover, Feb 07 2013 *)
CROSSREFS
Sequence in context: A324558 A246508 A371529 * A248286 A049477 A113959
KEYWORD
nonn,cons
AUTHOR
Eric W. Weisstein, Sep 23 2008
STATUS
approved