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 A161463 #17 Sep 08 2022 08:45:45
%S A161463 2,8,23,48,83,132,197,270,363,468,583,714,863,1026,1199,1392,1607,
%T A161463 1836,2083,2346,2627,2926,3237,3564,3925,4290,4669,5074,5499,5938,
%U A161463 6389,6862,7355,7866,8411,8964,9539,10134,10743,11374,12029,12702,13393,14094
%N A161463 Sum of all primes from n-th prime to (2*n-1)-th prime.
%C A161463 From _Lekraj Beedassy_, Apr 30 2010: (Start)
%C A161463 Sum of next n primes starting with the n-th prime.
%C A161463 For sum of next n primes starting with the (T(n) + 1)-th prime, or A000124(n)-th prime = A078721(n), {T(n)=A000217(n)}, see A007468(n). (End)
%C A161463 74 of the first 1000 terms of this sequence are primes and each occurs at an odd index. - _Harvey P. Dale_, Jan 12 2014
%H A161463 Harvey P. Dale, <a href="/A161463/b161463.txt">Table of n, a(n) for n = 1..1000</a>
%e A161463 Sum of 3rd prime to 5th prime = 5+7+11, hence a(3) = 23; sum of 4th prime to 7th prime = 7+11+13+17, hence a(4) = 48.
%t A161463 nn=100;With[{prs=Prime[Range[nn]]},Table[Total[Take[prs,{n,2n-1}]],{n, Floor[(nn+1)/2]}]] (* _Harvey P. Dale_, Jan 12 2014 *)
%o A161463 (Magma) [ &+[ NthPrime(k): k in [n..2*n-1] ]: n in [1..44] ]; // _Klaus Brockhaus_, Jun 12 2009
%Y A161463 Cf. A000040 (primes), A007504 (sum of first n primes), A105720 (sum of n-th and next n primes).
%K A161463 nonn
%O A161463 1,1
%A A161463 _Juri-Stepan Gerasimov_, Jun 10 2009
%E A161463 Edited, corrected and extended by _Klaus Brockhaus_, Jun 12 2009