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 A383463 #62 Jul 28 2025 08:58:31
%S A383463 1,0,0,0,2,4,9,3,0,4,8,7,6,7,5,3,2,6,1,7,4,8,1,3,5,7,9,8,2,0,3,8,0,1,
%T A383463 9,7,9,0,2,1,5,5,2,7,1,5,6,4,2,8,6,8,9,0,8,9,1,3,9,1,6,7,0,4,7,4,6,5,
%U A383463 4,0,3,0,7,8,6,8,8,2,4,7,8,9,8,9,3,7,7,3,0,9,2,0,4,6,7,8,3,7,8,5,4,1,8,6,6
%N A383463 Decimal expansion of Sum_{k>=0} 1/(16*k+1)^3.
%H A383463 Jason Bard, <a href="/A383463/b383463.txt">Table of n, a(n) for n = 1..10000</a>
%H A383463 Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 21.
%F A383463 Equals -1/8192 * PolyGamma(2, 1/16).
%e A383463 1.00024930487675326174813579820380197902155271564286...
%p A383463 evalf(sum(1/(16*k+1)^3, k=0..infinity), 120); # _Alois P. Heinz_, Jul 26 2025
%t A383463 RealDigits[-PolyGamma[2, 1/16]/8192, 10, 100][[1]]
%o A383463 (PARI) zetahurwitz(3, 1/16)/16^3 \\ _Amiram Eldar_, Jul 28 2025
%K A383463 nonn,cons
%O A383463 1,5
%A A383463 _Jason Bard_, Jul 24 2025