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
Examples
2.944438979166440460009027431887853537237379261299128818537960236409292... - _Harry J. Smith_, May 17 2009
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.
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
Crossrefs
Cf. A016447 Continued fraction.
Programs
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Mathematica
First[RealDigits[Log[19], 10, 100]] (* Paolo Xausa, Mar 21 2024 *)
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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
Formula
Equals 2*log(2)+log(5)-Sum_{k>=1} 1/(k*20^k). - R. J. Mathar, Jun 10 2024