A016640 Decimal expansion of log(17).

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

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

3*this = 3*log(2) +4*log(5) - Sum_{k>=1} (87/5000)^k/k . - R. J. Mathar, Jun 10 2024

Equals lim_{n->oo} n*(17^(1/n) - 1) = lim_{k->oo} 2^k*(17^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

Example

2.833213344056216080249534617873126535588203012585744787297237737882292...

Mathematica

RealDigits[Log[17], 10, 100][[1]] (* Alonso del Arte, May 17 2015 *)

Prog

(PARI) default(realprecision, 20080); x=log(17); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016640.txt", n, " ", d)); \\ Harry J. Smith, May 17 2009, corrected May 19 2009

Crossrefs

Cf. A016445 (continued fraction).

Sequence in context: A021357 A381898 A214072 * A379829 A385569 A321984

Adjacent sequences: A016637 A016638 A016639 * A016641 A016642 A016643

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved