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 A334970 Sum of the values of the "shortest + middle - longest" side lengths of all primitive Heronian triangles with perimeter A096468(n). 0
 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, 20, 6, 44, 12, 8, 20, 72, 30, 64, 6, 28, 44, 66, 6, 50, 62, 24, 160, 18, 14, 20, 36, 4, 72, 2, 34, 28, 70, 142, 164, 48, 100, 10, 36, 82, 94, 86, 48, 124, 122, 46, 24, 108, 18, 34 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Eric Weisstein's World of Mathematics, Heronian Triangle Wikipedia, Heronian triangle Wikipedia, Integer Triangle EXAMPLE a(1) = 2; there is one primitive Heronian triangle with perimeter A096468(1) = 12, which is [3,4,5] and 3 + 4 - 5 = 2. 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. CROSSREFS Cf. A096468. Sequence in context: A031883 A086152 A194577 * A274708 A280638 A333725 Adjacent sequences:  A334967 A334968 A334969 * A334971 A334972 A334973 KEYWORD nonn AUTHOR Wesley Ivan Hurt, May 17 2020 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)