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Search: id:A107892
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| A107892 |
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Index of first occurrence of n-th prime in A001203, the continued fraction for Pi. |
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+0
3
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| 9, 1, 40, 2, 276, 28, 647, 140, 203, 243, 878, 784, 754, 492, 825, 1547, 907, 868, 1789, 9215, 898, 6222, 9131, 4829, 1516, 6700, 22640, 872, 11170, 3204, 223, 10387, 8299, 30086, 31079, 12637, 8486, 20644, 8451, 53069, 32093, 16297, 20276, 1002, 21264
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Until it is proved that every prime does indeed occur in A001203, we should tacitly understand a convention like "A107892(n) = 0 if A000040(n) does not occur in A001203". - M. F. Hasler, Mar 31 2008
Among first 1000000 terms of the continued fraction for Pi, the first absent primes have indices 129, 132, 137, 146, 147, 158, 160, 165, 170, 172, 175, 180, 182, 184, 189, 193, 197, 198, 199. The 200th prime is in the 947040-th place, thus A107892(200)=947040.
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LINKS
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M. F. Hasler (using data from H. Havermann), Table of n, a(n) for n=1,...,445.
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FORMULA
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A107892(n) = A032523(A000040(n)) = min { k | A001203(k)=A000040(n) }. - M. F. Hasler, Mar 31 2008
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CROSSREFS
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Cf. A032523: first occurrence of n in A001203.
Cf. A138758, A138759.
Sequence in context: A092477 A019433 A050312 this_sequence A050303 A038291 A075504
Adjacent sequences: A107889 A107890 A107891 this_sequence A107893 A107894 A107895
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), May 25 2005
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EXTENSIONS
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Edited by M. F. Hasler (www.univ-ag.fr/~mhasler), Mar 31 2008
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