A065477 Decimal expansion of constant 5 * Pi^2 * A065476 / 48.
7, 4, 3, 9, 7, 1, 1, 9, 3, 3, 5, 0, 3, 7, 4, 7, 4, 4, 6, 8, 6, 5, 5, 9, 6, 0, 7, 5, 8, 5, 6, 5, 0, 0, 0, 0, 9, 8, 6, 0, 0, 8, 6, 9, 2, 8, 6, 1, 3, 2, 7, 8, 7, 3, 3, 1, 9, 5, 1, 2, 3, 8, 9, 1, 7, 2, 2, 4, 6, 7, 4, 3, 0, 5, 6, 9, 7, 9, 5, 3, 4, 0, 6, 2, 5, 2, 3, 6, 2, 1, 8, 1, 8, 7, 1, 7, 2, 5
Offset: 0
Examples
0.743971193350374744686559607585650...
References
- Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.4, p. 106.
Links
- G. Niklasch, Some number theoretical constants: 1000-digit values. [Cached copy]
Programs
-
Mathematica
$MaxExtraPrecision = 500; digits = 98; terms = 500; P[n_] := PrimeZetaP[n] - 1/2^n; LR = Join[{0, 0}, LinearRecurrence[{0, 1, 2}, {-2, -6, -2}, terms + 10]]; r[n_Integer] := LR[[n]]; (5 Pi^2/48)*Exp[NSum[r[n]*P[n - 1]/(n - 1), {n, 3, terms}, NSumTerms -> terms, WorkingPrecision -> digits + 10]] // RealDigits[#, 10, digits]& // First (* Jean-François Alcover, Apr 18 2016 *) -
PARI
(5 * Pi^2 / 48) * prodeulerrat(1 - (p+2)/p^3, 1, 3) \\ Amiram Eldar, Mar 16 2021