A016642 Decimal expansion of log(19).

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

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 2*log(2)+log(5)-Sum_{k>=1} 1/(k*20^k). - R. J. Mathar, Jun 10 2024

Equals lim_{n->oo} n*(19^(1/n) - 1) = lim_{k->oo} 2^k*(19^(1/2^k) - 1) [Knopp]. - Stefano Spezia, Jan 18 2026

Example

2.944438979166440460009027431887853537237379261299128818537960236409292... - Harry J. Smith, May 17 2009

Mathematica

First[RealDigits[Log[19], 10, 100]] (* Paolo Xausa, Mar 21 2024 *)

Prog

(PARI) default(realprecision, 20080); x=log(19); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016642.txt", n, " ", d)); \\ Harry J. Smith, May 17 2009

Crossrefs

Cf. A016447 (continued fraction).

Sequence in context: A248968 A097881 A019758 * A070700 A372955 A371983

Adjacent sequences: A016639 A016640 A016641 * A016643 A016644 A016645

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved