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 A025117 #5 Jan 18 2022 01:10:14
%S A025117 3,5,22,32,81,111,212,256,429,519,794,926,1329,1537,2092,2368,3109,
%T A025117 3427,4376,4818,6001,6495,7938,8542,10287,11075,13148,14074,16491,
%U A025117 17505,20314,21444,24679,26067,29768,31298,35493,37249,41972,44054,49343,51607,57494
%N A025117 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes).
%t A025117 Table[Sum[(2 k - 1) Prime[n - k + 2], {k, Floor[(n + 1)/2]}], {n, 50}] (* _Wesley Ivan Hurt_, Jan 18 2022 *)
%K A025117 nonn
%O A025117 1,1
%A A025117 _Clark Kimberling_