A016738 - OEIS

%I #22 Jul 10 2024 23:58:15

%S 2,3,3,3,1,1,3,6,3,3,1,4,2,1,2,1,3,26,5,1,23,1,1,1,2,2,3,19,1,3,716,1,

%T 2,1,1,2,2,1,22,1,17,4,1,13,7,3,5,1,1,1,1,1,7,7,1,1,4,2,1,15,1,4,2,4,

%U 1,28,1,1,2,4,1,3,6,1,9,2,4,3,1,4,3,4,1,24,16,4,6,1,33,20,9,1,1,7,24,4,2

%N Continued fraction for log(10).

%H Harry J. Smith, <a href="/A016738/b016738.txt">Table of n, a(n) for n = 0..19999</a>

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

%e 2.302585092994045684017991454... = 2 + 1/(3 + 1/(3 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, May 16 2009

%t ContinuedFraction[ Log[10], 75 ]

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(10)); for (n=1, 20000, write("b016738.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, Apr 16 2009

%o (Magma) ContinuedFraction(Log(10)); // _G. C. Greubel_, Sep 15 2018

%Y Cf. A002392 (decimal expansion).

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_

%E More terms from _Robert G. Wilson v_, Dec 07 2000

%E Offset changed by _Andrew Howroyd_, Jul 10 2024