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 A070985 #16 Apr 30 2022 07:58:35
%S A070985 1,2,5,7,9,7,10,20,18,14,22,19,18,24,26,24,30,30,28,37,25,30,35,35,34,
%T A070985 38,47,52,49,54,40,49,49,69,57,67,78,67,67,68,67,64,65,86,76,81,92,79,
%U A070985 83,83,95,82,85,80,84,95,92,91,121,105,100,108,111,109,118,105,110,88
%N A070985 Number of terms in the simple continued fraction for Sum_{k=1..n} 1/k^2.
%C A070985 Sum_{k>=1} 1/k^2 = zeta(2) = Pi^2/6.
%H A070985 Amiram Eldar, <a href="/A070985/b070985.txt">Table of n, a(n) for n = 1..10000</a>
%F A070985 Limit_{n ->infinity} a(n)/n = C =1.6....
%e A070985 The simple continued fraction for Sum_{k=1..10} 1/k^2 is [1, 1, 1, 4, 1, 1, 10, 4, 1, 2, 5, 2, 1, 24] which contains 14 terms, hence a(10) = 14.
%t A070985 lcf[f_] := Length[ContinuedFraction[f]]; lcf /@ Accumulate[Table[1/k^2, {k, 1, 100}]] (* _Amiram Eldar_, Apr 30 2022 *)
%o A070985 (PARI) for(n=1,100,print1(length(contfrac(sum(i=1,n,1/i^2))),","))
%Y A070985 Cf. A013679, A055573, A007406, A007407.
%K A070985 easy,nonn
%O A070985 1,2
%A A070985 _Benoit Cloitre_, May 18 2002