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 A241191 #16 Jul 09 2025 04:38:47
%S A241191 1,3,1,93,145,213,289,365,260511,9645025,395623447,17017308303,
%T A241191 800016993275,902324346127,2502504187659113,152669617912106167,
%U A241191 10229758110750827711,726365554791051924279,53027901964339123037045,57389311757677767147397
%N A241191 Numerator of Sum_{i=1..n} 1/(prime(i)*prime(i+1)*prime(i+2)).
%H A241191 Robert Israel, <a href="/A241191/b241191.txt">Table of n, a(n) for n = 1..361</a>
%e A241191 1/30, 3/70, 1/22, 93/2002, 145/3094, 213/4522, 289/6118, 365/7714, 260511/5500082, 9645025/203503034, 395623447/8343624394, 17017308303/358775848942, 800016993275/16862464900274, 902324346127/19015119993926, ...
%p A241191 g:= n-> add(1/(ithprime(i)*ithprime(i+1)*ithprime(i+2)),i=1..n);
%p A241191 t1:=[seq(g(n),n=1..20)];
%p A241191 t1a:=map(numer,t1); # A241191
%p A241191 t1b:=map(denom,t1); # A241192
%Y A241191 Cf. A024451/A002110, A241189/A241190, A241191/A241192.
%K A241191 nonn,frac
%O A241191 1,2
%A A241191 _N. J. A. Sloane_, Apr 25 2014, based on a suggestion from _Timothy Varghese_