A144875 Decimal expansion of integral of pi_q from 0 to 1.

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

Table of n, a(n) for n=1..105.

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

Adjacent sequences: A144872 A144873 A144874 * A144876 A144877 A144878

Keyword

nonn,cons

Author

Eric W. Weisstein, Sep 23 2008

Status

approved