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 A279617 #14 Feb 16 2025 08:33:38
%S A279617 0,0,1,3,7,9,14,22,28,37,50,62,76,86,98,110,134,156,165,185,209,236,
%T A279617 265,303,339,363,402,431,464,507,531,589,647,664,716,776,829,892,972,
%U A279617 1018,1072,1159,1229,1275,1375,1437,1495,1582,1613,1692,1796,1867,1954
%N A279617 Partial sums of A279481.
%H A279617 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/GoldbachPartition.html">Goldbach Partition</a>
%H A279617 Wikipedia, <a href="http://en.wikipedia.org/wiki/Goldbach%27s_conjecture">Goldbach's conjecture</a>
%H A279617 <a href="/index/Go#Goldbach">Index entries for sequences related to Goldbach conjecture</a>
%H A279617 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A279617 a(n) = -1 + Sum_{k=1..n} (Sum_{i=2..k} A010051(i) * A010051(2k-i) * (pi(2k-i)-pi(i-1))) for n > 2.
%p A279617 with(numtheory): A279617:=n->-1+add(add( (pi(i)-pi(i-1)) * (pi(2*k-i)-pi(2*k-i-1)) * (pi(2*k-i)-pi(i-1)), i=2..k), k=1..n): 0, 0, seq(A279617(n), n=3..100);
%Y A279617 Cf. A279481.
%K A279617 nonn,easy
%O A279617 1,4
%A A279617 _Wesley Ivan Hurt_, Dec 15 2016