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 A112323 #12 Oct 11 2019 16:48:11
%S A112323 3,5,2,10,17,19,13,31,38,11,41,49,31,73,82,93,89,19,115,107,5,136,148,
%T A112323 107,31,38,178,161,139,67,220,236,103,256,56,181,47,283,302,313,269,
%U A112323 52,287,61,74,65,69,388,341,289,423,359,137,456,467,478,101,107,349,211
%N A112323 a(n) = numerator of sum of reciprocals of the terms of the continued fraction for prime(n+1)/prime(n).
%H A112323 Harvey P. Dale, <a href="/A112323/b112323.txt">Table of n, a(n) for n = 1..1000</a>
%e A112323 prime(6)/prime(5) = 13/11 = 1 + 1/(5 + 1/2).
%e A112323 So a(5) is 17, the numerator of 17/10 = 1 + 1/5 + 1/2.
%t A112323 f[n_] := Plus @@ (1/# &) /@ ContinuedFraction[Prime[n + 1]/Prime[n]]; Table[Numerator[f[n]], {n, 60}] (* _Ray Chandler_, Sep 07 2005 *)
%Y A112323 Cf. A071866, A110021, A109374, A112324, A112768.
%K A112323 nonn,frac
%O A112323 1,1
%A A112323 _Leroy Quet_, Sep 03 2005
%E A112323 Extended by _Ray Chandler_, Sep 07 2005