A372605 - OEIS

%I #16 May 19 2024 14:02:47

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

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

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

%N Decimal expansion of sqrt(Pi/log(10)).

%C According to Borwein and Borwein (1982), this approximates (1/100)*(Sum_{k=-oo..+oo} 1/10^((k/100)^2)) to at least 18000 correct digits. See Sum 11, p. 623.

%H Paolo Xausa, <a href="/A372605/b372605.txt">Table of n, a(n) for n = 1..10000</a>

%H J. M. Borwein and P. B. Borwein, <a href="https://doi.org/10.2307/2324993">Strange Series and High Precision Fraud</a>, The American Mathematical Monthly, Vol. 99, No. 7 (1992), pp. 622-640.

%F Equals sqrt(A197071).

%e 1.168065218145734081547039611835696565835047073019223599580...

%t First[RealDigits[Sqrt[Pi/Log[10]], 10, 100]]

%Y Cf. A000796, A197071.

%K nonn,cons

%O 1,3

%A _Paolo Xausa_, May 07 2024