A341114 - OEIS

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

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OFFSET

0,3

LINKS

Table of n, a(n) for n=0..27.

Eric Weisstein's World of Mathematics, Continued Fraction

Wikipedia, Twelfth root of two

Index entries for sequences based on music

FORMULA

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

MATHEMATICA

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

CROSSREFS

For numerators see A341113.

Cf. A002351, A010774, A103922.

Sequence in context: A003999 A217844 A041532 * A300133 A041534 A306572

Adjacent sequences: A341111 A341112 A341113 * A341115 A341116 A341117

KEYWORD

nonn,frac

AUTHOR

Seiichi Manyama, Feb 05 2021

STATUS

approved