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A340927 Decimal expansion of Product_{primes p == 3 (mod 5)} 1/(1 - 1/p^4). 4

%I #12 Jan 28 2021 03:41:26

%S 1,0,1,2,5,3,9,5,7,1,6,4,4,9,3,5,9,0,3,5,2,2,1,0,0,2,7,2,6,9,1,1,5,2,

%T 1,4,0,4,7,8,3,6,2,8,0,2,7,8,7,7,4,9,8,5,4,8,0,0,1,3,4,7,7,2,6,9,5,3,

%U 0,3,0,6,5,9,6,3,8,1,0,3,3,1,7,5,3,7,2,3,4,0,9,4,3,2,1,6,9,8,4,4,3,4,1,5,7

%N Decimal expansion of Product_{primes p == 3 (mod 5)} 1/(1 - 1/p^4).

%H Vaclav Kotesovec, <a href="/A340927/b340927.txt">Table of n, a(n) for n = 1..500</a>

%H R. J. Mathar, <a href="https://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, Zeta_{m=5,n=3}(s=4).

%F Equals A340665^2 / A340711.

%F Equals 104*Pi^4 / (9375 * A340808 * A340926 * A340809).

%F Equals Sum_{k>=1} 1/A004617(k)^4. - _Amiram Eldar_, Jan 28 2021

%e 1.012539571644935903522100272691152140478362802787749854800134772695303...

%Y Cf. A340808, A340809, A340926.

%Y Cf. A340004, A340794, A340665, A340127.

%Y Cf. A340629, A340710, A340711, A340628.

%K nonn,cons

%O 1,4

%A _Vaclav Kotesovec_, Jan 27 2021

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)