A016733 - OEIS

%I #31 Sep 08 2022 08:44:41

%S 1,1,1,1,1,3,1,1,1,3,4,6,94,1,3,4,40,1,5,2,2,1,1,7,7,8,39,4,3,4,1,9,1,

%T 1,2,1,7,1,6,2,18,1,1,1,12,1,1,3,1,1,4,16,16,3,3,2,1,17,1,8,1,20,1,15,

%U 15,10,2,13,1,1,34,1,32,25

%N Continued fraction for log(5).

%H Harry J. Smith, <a href="/A016733/b016733.txt">Table of n, a(n) for n = 0..19999</a> (offset adapted by _Georg Fischer_, Jan 31 2019)

%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

%e 1.609437912434100374600759333... = 1 + 1/(1 + 1/(1 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, May 16 2009

%t ContinuedFraction[Log[5],100] (* _Harvey P. Dale_, Apr 02 2015 *)

%o (PARI) { default(realprecision, 21000); x=contfrac(log(5)); for (n=1, 20000, write("b016733.txt", n - 1, " ", x[n])); } \\ _Harry J. Smith_, May 16 2009

%o (Magma) ContinuedFraction(Log(5)); // _G. C. Greubel_, Sep 15 2018

%Y Cf. A016628 (decimal expansion). - _Harry J. Smith_, May 16 2009

%K nonn,cofr

%O 0,6

%A _N. J. A. Sloane_