A016646 Decimal expansion of log(23).

3, 1, 3, 5, 4, 9, 4, 2, 1, 5, 9, 2, 9, 1, 4, 9, 6, 9, 0, 8, 0, 6, 7, 5, 2, 8, 3, 1, 8, 1, 0, 1, 9, 6, 1, 1, 8, 4, 4, 2, 3, 8, 0, 3, 1, 4, 8, 4, 0, 4, 3, 5, 7, 4, 1, 9, 9, 8, 6, 3, 5, 3, 7, 7, 4, 8, 2, 9, 9, 3, 2, 4, 5, 9, 8, 4, 7, 9, 8, 2, 9, 8, 1, 9, 8, 4, 0, 1, 0, 9, 2, 1, 5, 2, 9, 9, 4, 8, 1

Offset

1,1

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 2.

Konrad Knopp, Theory and application of infinite series, Blackie & Son Limited, London and Glasgow, 1954. See p. 198.

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

Index entries for transcendental numbers

Formula

2*log(23) = 9*log(2) + sum_{k >=1} (-1)^(k+1)/k*(17/512)^k. - R. J. Mathar, Jul 22 2025

Equals lim_{n->oo} n*(23^(1/n) - 1) = lim_{k->oo} 2^k*(23^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

Example

3.135494215929149690806752831810196118442380314840435741998635377482993....

Mathematica

RealDigits[Log[23], 10, 100][[1]] (* Alonso del Arte, Feb 23 2015 *)

Prog

(PARI) default(realprecision, 20080); x=log(23); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016646.txt", n, " ", d)); \\ Harry J. Smith, May 17 2009, corrected May 20 2009

Crossrefs

Cf. A016451 (continued fraction). - Harry J. Smith, May 17 2009

Sequence in context: A324294 A082082 A388505 * A388780 A345943 A342342

Adjacent sequences: A016643 A016644 A016645 * A016647 A016648 A016649

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved