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 A112324 #10 Oct 11 2019 16:47:51
%S A112324 2,2,1,3,10,12,8,12,15,7,30,36,20,30,35,40,58,15,48,70,4,57,65,88,24,
%T A112324 25,75,106,108,56,93,105,68,117,37,150,39,120,135,140,178,45,190,48,
%U A112324 49,16,17,165,226,228,190,238,120,205,210,215,67,90,276,140,84,260,228,310
%N A112324 a(n) = denominator of sum of reciprocals of the terms of the continued fraction for prime(n+1)/prime(n).
%e A112324 prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2).
%e A112324 So a(5) is 10, the denominator of 17/10 = 1 + 1/5 + 1/2.
%t A112324 f[n_] := Plus @@ (1/# &) /@ ContinuedFraction[Prime[n + 1]/Prime[n]]; Table[Denominator[f[n]], {n, 64}] (* _Ray Chandler_, Sep 07 2005 *)
%Y A112324 Cf. A071866, A110021, A109374, A112323, A112768.
%K A112324 nonn,frac
%O A112324 1,1
%A A112324 _Leroy Quet_, Sep 03 2005
%E A112324 Extended by _Ray Chandler_, Sep 07 2005