A016642 -id:A016642

Search: a016642 -id:a016642

Displaying 1-3 of 3 results found.

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A016447

Continued fraction for log(19).

+0
2

2, 1, 16, 1, 563, 1, 3, 1, 2, 1, 1, 7, 1, 2, 89, 1, 5, 2, 1, 31, 5, 3, 1, 1, 3, 1, 1, 31, 1, 1, 43, 1, 1, 14, 1, 1, 8, 2, 7, 2, 1, 2, 25, 1, 5, 165, 1, 4, 7, 1, 16, 1, 17, 1, 12, 29, 1, 1, 1, 1, 1, 6, 4, 1, 1, 1, 3, 1, 9, 5, 3, 3, 1, 1, 14, 2, 4, 1, 2, 2, 4, 1, 2, 1, 2, 4, 2, 1, 11, 2, 1, 1, 1, 2, 1, 3, 3

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

OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..20000

EXAMPLE

2.944438979166440460009027... = 2 + 1/(1 + 1/(16 + 1/(1 + 1/(563 + ...)))) \\ Harry J. Smith, May 17 2009

MATHEMATICA

ContinuedFraction[Log[19], 100] (* Stefan Steinerberger, Apr 11 2006 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(19)); for (n=1, 20000, write("b016447.txt", n, " ", x[n])); } \\ Harry J. Smith, May 17 2009

CROSSREFS

Cf. A016642 Decimal expansion. - Harry J. Smith, May 17 2009

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane

STATUS

approved

A016680

Decimal expansion of log(57).

+0
2

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

(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.

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

EXAMPLE

4.04305126783455015140427266881037924188486981912187827027265457004....

MAPLE

evalf(log(57), 100); # Wesley Ivan Hurt, Jan 28 2017

MATHEMATICA

RealDigits[Log[57], 10, 120][[1]] (* Vincenzo Librandi, Jun 21 2015 *)

PROG

(PARI) default(realprecision, 20080); x=log(57); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b016680.txt", n, " ", d)); \\ Harry J. Smith, May 22 2009

CROSSREFS

Cf. A016485 (continued fraction).

Equals A002391 + A016642.

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane

STATUS

approved

A152814

Decimal expansion of log_19 (2).

+0
22

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

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

OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for transcendental numbers

FORMULA

Equals A002162 / A016642.

EXAMPLE

.23540891336663823644696546003684185383540677662781604728813...

MATHEMATICA

RealDigits[Log[19, 2], 10, 100][[1]] (* Vincenzo Librandi, Sep 05 2013 *)

PROG

(PARI) log(2)/log(19) \\ Charles R Greathouse IV, Aug 06 2020

CROSSREFS

Cf. decimal expansion of log_19(m): this sequence, A153027 (m=3), A153117 (m=4), A153451 (m=5), A153609 (m=6), A153629 (m=7), A153871 (m=8), A154018 (m=9), A154169 (m=10), A154190 (m=11), A154211 (m=12), A154401 (m=13), A154491 (m=14), A154697 (m=15), A154837 (m=16), A154899 (m=17), A154975 (m=18), A155531 (m=20), A155686 (m=21), A155787 (m=22), A155906 (m=23), A156000 (m=24).

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane, Oct 30 2009

STATUS

approved

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