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 A334989 Perimeters of Heronian triangles where the lengths of the smallest and middle sides are coprime. 2
 12, 30, 32, 36, 40, 42, 44, 48, 50, 54, 56, 60, 64, 66, 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, 174, 176, 180, 182, 186, 190, 192, 196, 198, 200, 204 (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(2) = 30. LINKS Table of n, a(n) for n=1..59. 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 smallest and middle sides are coprime (GCD(3,4) = 1). a(3) = 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, A334984. Sequence in context: A183723 A247152 A299041 * A331367 A335149 A050689 Adjacent sequences: A334986 A334987 A334988 * A334990 A334991 A334992 KEYWORD nonn AUTHOR Wesley Ivan Hurt, May 18 2020 STATUS approved

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Last modified September 7 07:38 EDT 2024. Contains 375729 sequences. (Running on oeis4.)