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A130611 Tribonacci numbers A000073 which can be the hypotenuse of a Pythagorean triple. 1

%I

%S 13,149,274,1705,19513,35890,66012,121415,755476,1389537,4700770

%N Tribonacci numbers A000073 which can be the hypotenuse of a Pythagorean triple.

%C The first 2 values are hypotenuses of primitive Pythagorean triples, A000073 INTERSECTION A020882: (5^2 + 12^2 = 13^2), (51^2 + 140^2 = 149^2). The other values listed have one or more nonprimitive solution: a(6) = 35890 has 13 solutions; a(8), a(9), a(10), a(11) have 4 solutions each.

%F A000073 INTERSECTION A009000. {c in A000073 such that there exist integers a, b with a^2 + b^2 = c^2}.

%e a(4) = 1705 because 1023^2 + 1364^2 = 1705^2, which is a nonprimitive Pythagorean triple 341*(3,4,5).

%Y Cf. A000073, A020882, A009000.

%K nonn

%O 1,1

%A _Jonathan Vos Post_, Jun 17 2007

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Last modified October 20 08:28 EDT 2021. Contains 348099 sequences. (Running on oeis4.)