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 A308100 #28 Jun 18 2020 13:37:06 %S A308100 0,0,0,0,0,2,3,3,3,0,5,5,5,0,12,7,14,0,7,0,7,0,11,11,22,0,37,13,37,0, %T A308100 26,0,24,0,47,17,47,0,85,19,91,0,74,0,55,0,105,23,107,0,82,0,88,0,42, %U A308100 0,65,0,133,29,81,0,172,31,234,0,153,0,143,0,120,0 %N A308100 Sum of the largest sides of all integer-sided triangles with prime sides and perimeter n. %H A308100 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a> %F A308100 a(n) = Sum_{k=1..floor(n/3)} Sum_{i=k..floor((n-k)/2)} sign(floor((i+k)/(n-i-k+1))) * A010051(i) * A010051(k) * A010051(n-i-k) * (n-i-k). %t A308100 Table[Sum[Sum[(n - i - 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 A308100 Cf. A308119. %K A308100 nonn %O A308100 1,6 %A A308100 _Wesley Ivan Hurt_, May 13 2019