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 A334984 Perimeters of Heronian triangles where the lengths of the middle and largest sides are coprime. 2
 12, 16, 18, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 68, 70, 72, 76, 78, 80, 84, 90, 96, 98, 100, 104, 108, 110, 112, 114, 120, 126, 128, 130, 132, 136, 140, 144, 150, 152, 154, 156, 160, 162, 164, 168, 170, 172, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204, 208 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This sequence includes the perimeters of all primitive Heronian triangles (A096468). First differs from A096468 at a(16) = 68. LINKS Table of n, a(n) for n=1..60. Eric Weisstein's World of Mathematics, Heronian Triangle Wikipedia, Heronian triangle Wikipedia, Integer Triangle EXAMPLE a(1) = 12; there is one Heronian triangle with perimeter 12, which is [3,4,5] and the lengths of the middle and largest sides are coprime (GCD(4,5) = 1). a(5) = 32; there is one Heronian triangle with perimeter 32, [4,13,15] and the lengths of the smallest and middle sides are coprime (GCD(4,13) = 1). CROSSREFS Cf. A051518, A096468, A334983, A334989. Sequence in context: A224302 A096468 A334983 * A334338 A334584 A054281 Adjacent sequences: A334981 A334982 A334983 * A334985 A334986 A334987 KEYWORD nonn AUTHOR Wesley Ivan Hurt, May 18 2020 STATUS approved

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Last modified August 9 21:21 EDT 2024. Contains 375044 sequences. (Running on oeis4.)