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 A046083 The smallest member 'a' of the Pythagorean triples (a,b,c) ordered by increasing c. 9
 3, 6, 5, 9, 8, 12, 15, 7, 10, 20, 18, 16, 21, 12, 15, 24, 9, 27, 30, 14, 24, 20, 28, 33, 40, 36, 11, 39, 33, 25, 16, 32, 42, 48, 24, 45, 21, 30, 48, 18, 51, 40, 36, 13, 60, 39, 54, 35, 57, 65, 60, 28, 20, 48, 40, 63, 56, 60, 66, 36, 15, 69, 80, 45, 56, 72, 22, 27, 75, 44, 35 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Jean-François Alcover, Table of n, a(n) for n = 1..10000 Eric Weisstein's World of Mathematics, Pythagorean Triple. MATHEMATICA maxHypo = 125; hypotenuseQ[n_] := For[k = 1, True, k++, p = Prime[k]; Which[Mod[p, 4] == 1 && Divisible[n, p], Return[True], p > n, Return[False]]]; hypotenuses = Select[Range[maxHypo], hypotenuseQ]; red[c_] := {a, b, c} /. {ToRules[ Reduce[0 < a <= b && a^2 + b^2 == c^2, {a, b}, Integers]]}; Sort[Flatten[red /@ hypotenuses , 1], Last[#1] < Last[#2] &][[All, 1]] (* Jean-François Alcover, Oct 23 2012 *) CROSSREFS Cf. A046084, A009000. Sequence in context: A046128 A057098 A053628 * A310127 A310128 A310129 Adjacent sequences:  A046080 A046081 A046082 * A046084 A046085 A046086 KEYWORD nonn AUTHOR STATUS approved

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Last modified August 18 20:29 EDT 2018. Contains 313840 sequences. (Running on oeis4.)