Search: id:A128875
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%I A128875
%S A128875 1,8,673,681,11569,12250,685319,697569,1382888,2080457,5543802,13168061,
%T A128875 1546206939,1559375000,6224331939,14008038878,76264526329,90272565207,
%U A128875 798445047985,1687162661177,66597788833888,134882740328953
%N A128875 Denominator of the continued fraction convergents of the decimal concatenation 
               of the powers of 2.
%F A128875 The powers of 2 = 1,2,4,8,16,32,64,... are concatenated and then preceded 
               by a decimal point to create the fraction N = .1248163264128... 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 A128875 (PARI) g(n) = f=".";for(x=0,n,a=concat(f,2^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 A128875 Sequence in context: A015106 A099126 A101180 this_sequence A037076 A116245 
               A071308
%Y A128875 Adjacent sequences: A128872 A128873 A128874 this_sequence A128876 A128877 
               A128878
%K A128875 frac,nonn
%O A128875 0,2
%A A128875 Cino Hilliard (hillcino368(AT)hotmail.com), Apr 18 2007

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