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Search: id:A128845
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| A128845 |
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Denominators of the continued fraction convergents of the decimal concatenation of the lower bound of twin primes. |
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+0
1
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| 1, 2, 3, 17, 20, 37, 94, 131, 225, 581, 806, 1387, 2193, 3580, 9353, 12933, 22286, 35219, 57505, 1472844, 1530349, 50444012, 102418373, 255280758, 30480828575, 152659423633, 1251756217639, 1404415641272, 2656171858911, 6716759359094
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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The lower bounds of twin primes 3,5,11,17... are concatenated and then preceded by a decimal point to create the fraction N = .35111729... . 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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PROGRAM
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(PARI) cattwinsL(n) = a="."; forprime(x=3, n, if(ispseudoprime(x+2), a=concat(a, Str(x)))); a=eval(a) cfrac2(m, f) = { default(realprecision, 1000); cf = vector(m+10); cf = contfrac(f); for(m1=1, 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", "); ) }
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CROSSREFS
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Sequence in context: A140834 A121409 A041295 this_sequence A128851 A078737 A041981
Adjacent sequences: A128842 A128843 A128844 this_sequence A128846 A128847 A128848
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KEYWORD
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frac,nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)hotmail.com), Apr 16 2007
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