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A128872
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Denominator of the continued fraction convergents of the decimal concatenation of the Fibonacci numbers.
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0
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1, 89, 79211, 2138786, 2217997, 179578546, 181796543, 361375089, 543171632, 904546721, 2352265074, 3256811795, 25149947639, 78706654712, 103856602351, 182563257063, 651546373540, 1485656004143, 2137202377683, 12171667892558
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| The Fibonacci numbers 0,1,1,2,3,5,8,13... are concatenated and then preceded by a decimal point to create the fraction N = .01123581321... 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
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PROG
| (PARI) fib(n) = a="."; for(x=0, n, a=concat(a, Str(fibonacci(x)))); a=eval(a) cfrac2(m, 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; ) }
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CROSSREFS
| Sequence in context: A023330 A059766 A033513 * A073905 A089158 A136031
Adjacent sequences: A128869 A128870 A128871 * A128873 A128874 A128875
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KEYWORD
| frac,nonn,base
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AUTHOR
| Cino Hilliard (hillcino368(AT)hotmail.com), Apr 18 2007
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EXTENSIONS
| Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Apr 25 2010
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