A196751 Decimal expansion of 8*Pi^4/729.
1, 0, 6, 8, 9, 6, 1, 2, 1, 8, 4, 8, 0, 1, 3, 6, 4, 8, 5, 4, 4, 7, 9, 0, 4, 8, 8, 5, 4, 7, 2, 7, 5, 8, 4, 2, 2, 4, 9, 3, 5, 8, 1, 1, 8, 7, 0, 8, 0, 2, 2, 4, 1, 0, 6, 3, 5, 3, 5, 5, 6, 7, 5, 5, 9, 9, 4, 1, 9, 3, 2, 0, 1, 1, 7, 2, 3, 1, 4, 9, 1, 0, 1, 7, 9, 6, 6, 3, 8, 3
Offset: 1
Examples
1.0689612184801364854479048854727584224935811870802241063535...
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..10000
- L. B. W. Jolley, Summation of Series, Dover, 1961. Eq 309 at n=4.
- R. J. Mathar, Table of Dirichlet L-series and prime zeta modulo functions for small moduli, arXiv:1008.2547 [math.NT], 2010-2015.
- Index entries for transcendental numbers
Crossrefs
Cf. A092425.
Programs
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Mathematica
RealDigits[8(Pi^4/729), 10, 90][[1]] (* Bruno Berselli, Dec 20 2011 *)
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PARI
8*Pi^4/729 \\ Charles R Greathouse IV, Oct 06 2011
Formula
Equals Sum_{n>=1} A011655(n)/n^4. See Mathar link, L(m=3,r=1,s=4).