login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Continued fraction for log(5/2).
2

%I #15 Apr 01 2024 14:10:13

%S 0,1,10,1,17,1,1,3,1,48,1,9,1,1,9,1,1,2,22,2,6,2,3,1,4,3,5,107,1,3,1,

%T 2,4,4,1,1,5,3,4,109,1,4,1,18,2,1,3,3,2,1,1,1,1,1,1,1,1,3,6,1,2,6,1,1,

%U 7,1,1,1,1,79,4,1,23,1,94,1

%N Continued fraction for log(5/2).

%H Harry J. Smith, <a href="/A016530/b016530.txt">Table of n, a(n) for n = 1..20000</a>

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

%e 0.9162907318741550651835272... = 0 + 1/(1 + 1/(10 + 1/(1 + 1/(17 + ...)))). - _Harry J. Smith_, May 25 2009

%t ContinuedFraction[Log[5/2], 100] (* _Paolo Xausa_, Apr 01 2024 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(log(5/2)); for (n=1, 20000, write("b016530.txt", n, " ", x[n])); } \\ _Harry J. Smith_, May 25 2009

%Y Cf. A016579 (decimal expansion).

%K nonn,cofr

%O 1,3

%A _N. J. A. Sloane_