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Search: id:A165509
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| A165509 |
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Continued fraction expansion of reciprocals of primorial numbers: (1/2)+(1/6)+(1/30)+(1/210)+... . |
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+0
2
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| 0, 1, 2, 2, 1, 1, 4, 1, 2, 1, 1, 6, 13, 1, 4, 1, 16, 6, 1, 1, 4, 5, 8, 1, 1, 5, 1, 22, 1, 1, 1, 2, 2, 1, 1, 46, 1, 1, 4, 1, 53, 1, 3, 2, 1, 3, 1, 2, 1, 2, 2, 8, 11, 1, 7, 1, 28, 1, 3, 1, 2, 2, 4, 7, 16, 5, 1, 1, 2, 1, 2, 1, 1, 2, 1, 5, 3, 17, 1, 7, 2, 3, 66, 1, 1, 4, 1, 27, 12, 2, 1, 1, 3, 9, 1, 12, 14, 2, 4
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,20000
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EXAMPLE
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0.705230171791800965147431682... = 0 + 1/(1 + 1/(2 + 1/(2 + 1/(1 + ...))))
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PROGRAM
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(PARI) { allocatemem(932245000); default(realprecision, 21000); p=1; s=x=0; for (k=1, 10^9, p*=prime(k); s+=1.0/p; if (s==x, break); x=s ); x=contfrac(s); for (n=0, 20000, write("b165509.txt", n, " ", x[n+1])) }
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CROSSREFS
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Cf. A064648 Decimal expansion.
Sequence in context: A078692 A033151 A046079 this_sequence A100996 A090048 A064285
Adjacent sequences: A165506 A165507 A165508 this_sequence A165510 A165511 A165512
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KEYWORD
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cofr,nonn
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AUTHOR
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Harry J. Smith (hjsmithh(AT)sbcglobal.net), Sep 21 2009
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