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A196751 Decimal expansion of 8*Pi^4/729. 1

%I #26 Apr 17 2024 11:06:21

%S 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,

%T 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,

%U 9,3,2,0,1,1,7,2,3,1,4,9,1,0,1,7,9,6,6,3,8,3

%N Decimal expansion of 8*Pi^4/729.

%H Vincenzo Librandi, <a href="/A196751/b196751.txt">Table of n, a(n) for n = 1..10000</a>

%H L. B. W. Jolley, <a href="https://archive.org/details/summationofserie00joll">Summation of Series</a>, Dover, 1961. Eq 309 at n=4.

%H R. J. Mathar, <a href="http://arxiv.org/abs/1008.2547">Table of Dirichlet L-series and prime zeta modulo functions for small moduli</a>, arXiv:1008.2547 [math.NT], 2010-2015.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>

%F Equals Sum_{n>=1} A011655(n)/n^4. See Mathar link, L(m=3,r=1,s=4).

%e 1.0689612184801364854479048854727584224935811870802241063535...

%t RealDigits[8(Pi^4/729), 10, 90][[1]] (* _Bruno Berselli_, Dec 20 2011 *)

%o (PARI) 8*Pi^4/729 \\ _Charles R Greathouse IV_, Oct 06 2011

%Y Cf. A092425.

%K nonn,cons,easy,changed

%O 1,3

%A _R. J. Mathar_, Oct 06 2011

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Last modified April 20 00:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)