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 A334970 #8 Feb 16 2025 08:34:00 %S A334970 2,4,2,4,2,12,6,14,4,6,18,18,6,2,22,6,16,26,2,2,4,8,38,36,8,88,46,26, %T A334970 20,6,44,12,8,20,72,30,64,6,28,44,66,6,50,62,24,160,18,14,20,36,4,72, %U A334970 2,34,28,70,142,164,48,100,10,36,82,94,86,48,124,122,46,24,108,18,34 %N A334970 Sum of the values of the "shortest + middle - longest" side lengths of all primitive Heronian triangles with perimeter A096468(n). %C A334970 a(n) is the excess length on the shortest and/or middle sides of all the primitive Heronian triangles with perimeter A096468(n) to avoid becoming degenerate triangles whose longest side is equal to the longest side of each primitive Heronian triangle. %H A334970 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/HeronianTriangle.html">Heronian Triangle</a> %H A334970 Wikipedia, <a href="https://en.wikipedia.org/wiki/Heronian_triangle">Heronian triangle</a> %H A334970 Wikipedia, <a href="https://en.wikipedia.org/wiki/Integer_triangle">Integer Triangle</a> %e A334970 a(1) = 2; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and 3 + 4 - 5 = 2. %e A334970 a(6) = 12; there are two primitive Heronian triangles with perimeter A096468(6) = 36, [9,10,17] and [10,13,13]. Then (9 + 10 - 17) + (10 + 13 - 13) = 2 + 10 = 12. %Y A334970 Cf. A096468. %K A334970 nonn %O A334970 1,1 %A A334970 _Wesley Ivan Hurt_, May 17 2020