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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

Table of n, a(n) for n=1..67.

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-Fran├žois Alcover, Oct 23 2012 *)

CROSSREFS

Cf. A009000, A046083.

Sequence in context: A046129 A092930 A009012 * A057099 A120427 A060830

Adjacent sequences:  A046081 A046082 A046083 * A046085 A046086 A046087

KEYWORD

nonn

AUTHOR

Eric W. Weisstein

STATUS

approved

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Last modified November 11 22:31 EST 2019. Contains 329046 sequences. (Running on oeis4.)