A016654 - OEIS

A016654

Decimal expansion of log(31).

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

(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

Equals Sum_{k>=1} (5/2^k - 1/32^k)/k. - R. J. Mathar, Jun 10 2024

Equals lim_{n->oo} n*(31^(1/n) - 1) = lim_{k->oo} 2^k*(31^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

EXAMPLE

3.433987204485146245929164324542357210449938930480591971756718072474981....

MATHEMATICA

RealDigits[Log[31], 10, 120][[1]] (* Harvey P. Dale, Feb 04 2015 *)

PROG

(PARI) default(realprecision, 20080); x=log(31); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016654.txt", n, " ", d)); \\ Harry J. Smith, May 20 2009

CROSSREFS

Cf. A016459 (continued fraction).

Sequence in context: A246820 A094237 A386460 * A090673 A270827 A293072

Adjacent sequences: A016651 A016652 A016653 * A016655 A016656 A016657

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved