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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 (list; constant; graph; refs; listen; history; text; internal format)
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-Fran├žois Alcover, Feb 07 2013 *)

CROSSREFS

Sequence in context: A021142 A126561 A246508 * A248286 A049477 A113959

Adjacent sequences:  A144872 A144873 A144874 * A144876 A144877 A144878

KEYWORD

nonn,cons

AUTHOR

Eric W. Weisstein, Sep 23 2008

STATUS

approved

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Last modified May 23 12:45 EDT 2017. Contains 286915 sequences.