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 A046084 The middle member 'b' of the Pythagorean triples (a,b,c) ordered by increasing c. 10
 4, 8, 12, 12, 15, 16, 20, 24, 24, 21, 24, 30, 28, 35, 36, 32, 40, 36, 40, 48, 45, 48, 45, 44, 42, 48, 60, 52, 56, 60, 63, 60, 56, 55, 70, 60, 72, 72, 64, 80, 68, 75, 77, 84, 63, 80, 72, 84, 76, 72, 80, 96, 99, 90, 96, 84, 90, 91, 88, 105, 112, 92, 84, 108, 105, 96, 120 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Pythagorean Triple. MATHEMATICA maxHypo = 122; 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, 2]] (* Jean-François Alcover, Oct 23 2012 *) CROSSREFS Cf. A009000, A046083. Sequence in context: A046129 A092930 A009012 * A057099 A334718 A334755 Adjacent sequences:  A046081 A046082 A046083 * A046085 A046086 A046087 KEYWORD nonn AUTHOR STATUS approved

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Last modified May 28 15:55 EDT 2020. Contains 334684 sequences. (Running on oeis4.)