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

1, 3, 28, 59, 146, 643, 4004, 8651, 12655, 21306, 76573, 97879, 1838395, 1936274, 13456039, 15392313, 44240665, 59632978, 103873643, 475127550, 579001193, 24793177656, 149338067129, 174131244785, 845863046269, 1865857337323

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• frac

Comments

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

Links

• Wikipedia, Diesis.

Crossrefs

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

Programs

Mathematica

Denominator[ Table[ ContinuedFraction[ Log[ 5/4 ]/Log[ 2 ], i ]//Normal, {i, 30} ] ]
Denominator[Convergents[Log[2,5/4],30]] (* Harvey P. Dale, Jan 24 2015 *)

PARI

contfracpnqn(contfrac(log(5)/log(2)),99)[2,] \\ M. F. Hasler, Apr 30 2020

Extensions

Name corrected and links edited by M. F. Hasler, Apr 30 2020