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Decimal expansion of zeta(2) + zeta(3).
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%I #19 Aug 05 2024 13:42:33

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

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

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

%N Decimal expansion of zeta(2) + zeta(3).

%H Omran Kouba, <a href="http://www.jstor.org/stable/10.4169/math.mag.87.4.292">A zeta series</a>, Solution to Problem 1930, Mathematics Magazine, Vol. 87, No. 4 (2014), pp. 296-298.

%H Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011).

%F Equals 1 + Sum_{k>=2} k * (k - Sum_{i=2..k} zeta(i)) (Kouba, 2014). - _Amiram Eldar_, Jun 09 2022

%e 2.8469909700078207218721533281574751799839361...

%t RealDigits[Zeta[2] + Zeta[3], 10, 100][[1]] (* _Amiram Eldar_, Jun 09 2022 *)

%o (PARI) zeta(2)+zeta(3) \\ _Michel Marcus_, Aug 24 2021

%Y Cf. A002117, A013661, A183699.

%Y Cf. A347214, A347215, A347216, A347217, A347218, A347219, A347220.

%K nonn,cons

%O 1,1

%A _Sean A. Irvine_, Aug 24 2021