A341114 Denominators of continued fraction convergents to 2^(1/12).

0, 1, 16, 17, 84, 185, 1379, 1564, 2943, 7450, 17843, 132351, 547247, 679598, 1906443, 2586041, 157068903, 159654944, 636033735, 795688679, 2227411093, 18614977423, 95302298208, 113917275631, 323136849470, 437054125101, 760190974571, 1197245099672

Offset: 0

Author

Seiichi Manyama, Feb 05 2021

Keywords

• nonn
• frac

Links

• Eric Weisstein's World of Mathematics, Continued Fraction
• Wikipedia, Twelfth root of two
• Index entries for sequences based on music

Crossrefs

For numerators see A341113.

Cf. A002351, A010774, A103922.

Programs

Mathematica

Join[{0}, Denominator[Convergents[2^(1/12), 27]]] (* Amiram Eldar, Feb 05 2021 *)

Formula

a(0) = 0, a(1) = 1, a(n) = A103922(n-1) * a(n-1) + a(n-2) for n > 1.