Search: id:A128876
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%I A128876
%S A128876 1,9,109,990,1099,99900,100999,1008891,1109890,9888011,50549945,
%T A128876 212087791,1110988900,9099998991,10210987891,100998890010,1020199887991,
%U A128876 1121198778001,12232187668001,50049949450005,212431985468021
%N A128876 Denominator of the continued fraction convergents of the decimal concatenation 
               of the powers of 10.
%F A128876 The powers of 10 = 1,10,100,1000,10000,... are concatenated and then 
               preceded by a decimal point to create the fraction N = .110100100010000... 
               This number is then evaluated with n=0,m=steps to iterate,x = N, 
               a(0)=floor(N) using the loop: do a(n)=floor(x) x=1/(x-a(n)) n=n+1 
               loop until n=m
%o A128876 (PARI) g(n) = f=".";for(x=0,n,a=concat(f,10^x));f=eval(f) { default(realprecision,
               1000); cf = vector(1000); cf = contfrac(f); for(m1=0,m-1, r=cf[m1+1]; 
               forstep(n=m1,1,-1, r = 1/r; r+=cf[n];); numer=numerator(r); denom=denominator(r); 
               print1(denom","); numer2=numer;denom2=denom; ) }
%Y A128876 Sequence in context: A157906 A166846 A058421 this_sequence A105974 A053912 
               A053894
%Y A128876 Adjacent sequences: A128873 A128874 A128875 this_sequence A128877 A128878 
               A128879
%K A128876 frac,nonn
%O A128876 0,2
%A A128876 Cino Hilliard (hillcino368(AT)hotmail.com), Apr 18 2007

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