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 A046087 Middle member 'b' of the primitive Pythagorean triples (a,b,c) ordered by increasing c, then b. 22
 4, 12, 15, 24, 21, 35, 40, 45, 60, 56, 63, 55, 77, 84, 80, 72, 99, 91, 112, 117, 105, 143, 144, 140, 132, 120, 165, 180, 153, 176, 168, 195, 156, 187, 171, 220, 221, 208, 209, 255, 247, 264, 260, 252, 231, 240, 285, 224, 273, 312, 308, 253, 323, 288, 299, 272 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Ivan Neretin, Table of n, a(n) for n = 1..10000 F. Richman, Pythagorean Triples Eric Weisstein's World of Mathematics, Pythagorean Triple MATHEMATICA maxHypo = 389; r[b_, c_] := Reduce[0 < a <= b < c && a^2 + b^2 == c^2, a, Integers]; Reap[Do[r0 = r[b, c]; If[r0 =!= False, {a0, b0, c0} = {a, b, c} /. ToRules[r0]; If[GCD[a0, b0, c0] == 1, Print[b0]; Sow[b0]]], {c, 1, maxHypo}, {b, 1, maxHypo}]][[2, 1]] (* Jean-François Alcover, Oct 22 2012 *) CROSSREFS Cf. A046086, A020882. Sequence in context: A020883 A002365 A212245 * A081872 A120097 A088510 Adjacent sequences:  A046084 A046085 A046086 * A046088 A046089 A046090 KEYWORD nonn,look AUTHOR STATUS approved

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Last modified March 29 21:32 EDT 2020. Contains 333117 sequences. (Running on oeis4.)