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 A308119 #10 Aug 24 2020 14:05:43
%S A308119 0,0,0,0,0,2,2,2,3,0,3,2,3,0,8,2,8,0,5,0,7,0,5,2,10,0,15,2,15,0,12,0,
%T A308119 18,0,23,2,21,0,39,2,37,0,36,0,31,0,47,2,47,0,46,0,48,0,30,0,47,0,61,
%U A308119 2,35,0,66,2,92,0,61,0,77,0,60,0,43,0,79,2,90
%N A308119 Sum of the smallest side lengths of all integer-sided triangles with prime side lengths and perimeter n.
%H A308119 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a>
%F A308119 a(n) = Sum_{k=1..floor(n/3)} Sum_{i=k..floor((n-k)/2)} sign(floor((i+k)/(n-i-k+1))) * c(i) * c(k) * c(n-i-k) * k, where c is the prime characteristic (A010051).
%t A308119 Table[Sum[Sum[k (PrimePi[i] - PrimePi[i - 1]) (PrimePi[k] - PrimePi[k - 1]) (PrimePi[n - i - k] - PrimePi[n - i - k - 1]) Sign[Floor[(i + k)/(n - i - k + 1)]], {i, k, Floor[(n - k)/2]}], {k, Floor[n/3]}], {n, 100}]
%Y A308119 Cf. A010051, A070088.
%K A308119 nonn
%O A308119 1,6
%A A308119 _Wesley Ivan Hurt_, May 13 2019