A340926 - OEIS

%I #19 Jan 28 2021 03:43:24

%S 1,0,6,7,1,2,4,7,6,1,5,0,2,2,3,4,2,5,5,6,3,4,5,8,2,1,6,3,1,3,6,1,3,7,

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

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

%N Decimal expansion of Product_{primes p == 2 (mod 5)} 1/(1 - 1/p^4).

%H Vaclav Kotesovec, <a href="/A340926/b340926.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=2}(s=4).

%F Equals A340794^2 / A340710.

%F Equals 104*Pi^4 / (9375 * A340808 * A340927 * A340809).

%F Equals Sum_{k>=1} 1/A004616(k)^4. - _Amiram Eldar_, Jan 28 2021

%e 1.067124761502234255634582163136137073885091716528006051500764099869277...

%Y Cf. A340808, A340809, A340927.

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

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

%K nonn,cons

%O 1,3

%A _Vaclav Kotesovec_, Jan 27 2021