This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A372767 #12 May 20 2024 02:09:10
%S A372767 2,0,6,4,5,1,6,1,2,9,0,3,2,2,5,8,0,6,4,5,1,6,1,2,9,0,3,2,2,5,9,6,9,3,
%T A372767 1,3,2,1,9,1,4,2,4,0,2,4,3,7,2,4,6,2,9,2,3,4,8,9,6,1,8,6,4,4,2,9,9,8,
%U A372767 2,7,1,5,5,9,5,0,3,4,9,3,1,9,8,8,1,4,5,7,7,5
%N A372767 Decimal expansion of Sum_{k >= 1} floor(k*zeta(3))/2^k.
%H A372767 Paolo Xausa, <a href="/A372767/b372767.txt">Table of n, a(n) for n = 1..10000</a>
%H A372767 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 A372767 Equals Sum_{k >= 1} A059537(k)/A000079(k).
%F A372767 Approximately 64/31, correct to 30 digits: see Example 4.1 in Borwein and Borwein (1992), p. 634.
%e A372767 2.0645161290322580645161290322596931321914240243724629234896...
%t A372767 First[RealDigits[Sum[Floor[k*Zeta[3]]/2^k, {k, 350}], 10, 100]]
%Y A372767 Cf. A000079, A002117, A059537, A372610, A372766.
%K A372767 nonn,cons
%O A372767 1,1
%A A372767 _Paolo Xausa_, May 12 2024