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

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Examples

			3.135494215929149690806752831810196118442380314840435741998635377482993....
		

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.

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

Crossrefs

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

Programs

Mathematica

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

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

Formula

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