A016652 - OEIS

A016652

Decimal expansion of log(29).

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

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

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

7*log(29) = 34*log(2) + Sum_{k >=1} (-1)^(k+1)/k*(70007125/17179869184)^k. - R. J. Mathar, Jul 22 2025

Equals lim_{n->oo} n*(29^(1/n) - 1) = lim_{k->oo} 2^k*(29^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

EXAMPLE

3.367295829986474027183272032361911605494512913922744078921670351642780....

MATHEMATICA

RealDigits[Log[29], 10, 120][[1]] (* Vincenzo Librandi, Jun 21 2015 *)

PROG

(PARI) default(realprecision, 20080); x=log(29); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016652.txt", n, " ", d)); \\ Harry J. Smith, May 20 2009

CROSSREFS

Cf. A016457 (continued fraction).

Sequence in context: A379358 A243307 A021301 * A008867 A185958 A273062

Adjacent sequences: A016649 A016650 A016651 * A016653 A016654 A016655

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved