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 A308147 #9 Aug 24 2020 14:32:53 %S A308147 0,0,0,0,0,6,7,8,9,0,11,12,13,0,15,16,34,0,19,0,21,0,0,24,50,0,54,28, %T A308147 58,0,31,0,66,0,35,36,74,0,117,40,123,0,86,0,135,0,47,48,147,0,153,0, %U A308147 106,0,55,0,171,0,59,60,122,0,189,64,260,0,134,0,276,0 %N A308147 Sum of the perimeters of all integer-sided isosceles triangles with perimeter n and prime side lengths. %H A308147 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a> %F A308147 a(n) = n * Sum_{k=1..floor(n/3)} Sum_{i=k..floor((n-k)/2)} sign(floor((i+k)/(n-i-k+1))) * ([i = k] + [i = n-i-k] - [k = n-i-k]) * c(i) * c(k) * c(n-i-k), where c is the prime characteristic (A010051) and [] is the Iverson bracket. %t A308147 Table[n*Sum[Sum[(PrimePi[i] - PrimePi[i - 1]) (PrimePi[k] - PrimePi[k - 1]) (PrimePi[n - i - k] - PrimePi[n - i - k - 1]) (KroneckerDelta[i, k] + KroneckerDelta[i, n - i - k] - KroneckerDelta[k, n - i - k]) Sign[Floor[(i + k)/(n - i - k + 1)]], {i, k, Floor[(n - k)/2]}], {k, Floor[n/3]}], {n, 100}] %Y A308147 Cf. A010051, A070092. %K A308147 nonn %O A308147 1,6 %A A308147 _Wesley Ivan Hurt_, May 14 2019