A016636 - OEIS

A016636

Decimal expansion of log(13).

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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,1

REFERENCES

Milton Abramowitz and Irene 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

Milton Abramowitz and Irene 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

Equals 2*log(2) + log(3) - sum_{k>=1} (-1)^k /(k*12^k). - R. J. Mathar, Jun 10 2024

Equals lim_{n->oo} n*(13^(1/n) - 1) = lim_{k->oo} 2^k*(13^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

EXAMPLE

2.56494935746153673605348744156531860480526794476020711641904551...

MATHEMATICA

RealDigits[Log[13], 10, 100][[1]] (* Alonso del Arte, Jun 12 2015 *)

PROG

(PARI) default(realprecision, 20080); x=log(13); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016636.txt", n, " ", d)); \\ Harry J. Smith, May 16 2009, corrected May 19 2009

CROSSREFS

Cf. A016441 (continued fraction).

Sequence in context: A368050 A343933 A262152 * A396044 A103989 A239049

Adjacent sequences: A016633 A016634 A016635 * A016637 A016638 A016639

KEYWORD

nonn,cons,easy

AUTHOR

N. J. A. Sloane

STATUS

approved