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A046104 Denominators of convergents to the diesis log_2(5/4). 13

%I #28 May 01 2020 12:08:40

%S 1,3,28,59,146,643,4004,8651,12655,21306,76573,97879,1838395,1936274,

%T 13456039,15392313,44240665,59632978,103873643,475127550,579001193,

%U 24793177656,149338067129,174131244785,845863046269,1865857337323

%N Denominators of convergents to the diesis log_2(5/4).

%C Also denominators of convergents to log_2(5), cf. A020858. Denominators of convergents to log_2(128/125), sometimes also referred to as diesis, are (1, 29, 117, 263, 643, 906, 1549, 5553, 7102, 90777, ...). - _M. F. Hasler_, Apr 30 2020

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Diesis">Diesis</a>.

%t Denominator[ Table[ ContinuedFraction[ Log[ 5/4 ]/Log[ 2 ], i ]//Normal, {i, 30} ] ]

%t Denominator[Convergents[Log[2,5/4],30]] (* _Harvey P. Dale_, Jan 24 2015 *)

%o (PARI) contfracpnqn(contfrac(log(5)/log(2)),99)[2,] \\ _M. F. Hasler_, Apr 30 2020

%Y Cf. A046103 (numerators corresponding to log_2(5/4)), A116985 (numerators corresponding to log_2(5)).

%K nonn,frac

%O 1,2

%A _Eric W. Weisstein_

%E Name corrected and links edited by _M. F. Hasler_, Apr 30 2020

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Last modified April 24 08:56 EDT 2024. Contains 371934 sequences. (Running on oeis4.)