A112732 -id:A112732 - cp's OEIS frontend

A116985 Numerators of the convergents to log_2(5).

2, 7, 65, 137, 339, 1493, 9297, 20087, 29384, 49471, 177797, 227268, 4268621, 4495889, 31243955, 35739844, 102723643, 138463487, 241187130, 1103212007, 1344399137, 57567975761, 346752253703, 404320229464, 1964033171559

Offset: 1

Gene Ward Smith, Mar 27 2006

Cf. A046103, A046104, A112732.

FromContinuedFraction /@ Reverse[NestList[Most, ContinuedFraction[Log[2, 5], 20], 19]] // InputForm (* Eric W. Weisstein, Apr 07 2006 *)

Corrected by Eric W. Weisstein, Apr 07 2006

A116984 Duplicate of A046104.

Original entry on oeis.org

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

Gene Ward Smith, Mar 27 2006

dead

This sequence defines equal divisions of the octave with especially accurate values for the major third, 5/4. This sequence is related to A112732, denominators of the convergents for the continued fraction for log_2(5)/4.

Duplicate of A046104.

Cf. A116985, A046103, A046104, A112732.

Table[Denominator[FromContinuedFraction[ContinuedFraction[Log[2, 5], n]]], {n, 1, 40}] (* Stefan Steinerberger, Apr 08 2006 *)

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

More terms from Stefan Steinerberger, Apr 08 2006

cp's OEIS Frontend

A116985 Numerators of the convergents to log_2(5).

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