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 A054875 Number of pairwise incongruent triangles with integer sides and positive integer area and longest side of length n. 6
 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 3, 1, 3, 1, 0, 3, 2, 0, 0, 3, 4, 4, 0, 1, 2, 7, 0, 1, 0, 3, 3, 2, 5, 0, 6, 7, 4, 4, 0, 2, 4, 0, 0, 5, 0, 6, 7, 10, 4, 1, 3, 4, 0, 4, 0, 10, 3, 0, 3, 1, 11, 3, 0, 8, 1, 5, 0, 4, 6, 7, 13, 0, 3, 9, 0, 10, 0, 6, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,13 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 MATHEMATICA okQ[x_, y_, z_] := If[x + y <= z, False, Module[{s = (x + y + z)/2}, IntegerQ[ Sqrt[s(s-x)(s-y)(s-z)]]] ]; a[n_] := Module[{num = 0}, Do[Do[If[okQ[x, y, n], num++], {x, 1, y}], {y, 1, n}]; num]; Array[a, 100] (* Amiram Eldar, Nov 22 2018 *) CROSSREFS Cf. A054876, A055592, A070787, A123323, A239246, A322105. Sequence in context: A098006 A336916 A082650 * A324115 A029239 A162201 Adjacent sequences:  A054872 A054873 A054874 * A054876 A054877 A054878 KEYWORD nonn AUTHOR Henry Bottomley, May 26 2000 EXTENSIONS Name and offset changed to align with 2012 changes to A054876 by Peter Munn, Nov 23 2018 STATUS approved

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Last modified June 25 03:09 EDT 2021. Contains 345449 sequences. (Running on oeis4.)