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A032523 Index of first occurrence of n as a term in A001203, the continued fraction for Pi. +0
14
4, 9, 1, 30, 40, 32, 2, 44, 130, 100, 276, 55, 28, 13, 3, 78, 647, 137, 140, 180, 214, 83, 203, 91, 791, 112, 574, 175, 243, 147, 878, 455, 531, 421, 1008, 594, 784, 3041, 721, 1872, 754, 119, 492, 429, 81, 3200, 825, 283, 3027, 465, 1437, 3384, 1547, 1864, 446 (list; graph; listen)
OFFSET

1,1

COMMENT

Until it is proved that every integer n>0 does occur in A001203, we should tacitly understand a convention like "A032523(n) = 0 if n does not occur in A001203". - M. F. Hasler, Mar 31 2008

LINKS

M. F. Hasler (using data from H. Havermann), Table of n, a(n) for n=1,...,3131.

H. Havermann, 3131 terms of a trivial variation (first term of pi excluded) of A032523

Eric Weisstein, Continued fraction of Pi

FORMULA

A032523(n) = min { k | A001203(k)=n }. - M. F. Hasler, Mar 31 2008

PROGRAM

(PARI) default( realprecision, 15000); v=contfrac(Pi); a(n) = for( i=1, #v, v[i]==n && return(i)) \\ - W. Meeussen, simplified by M. F. Hasler, Mar 31 2008

CROSSREFS

Cf. A001203, A107892, A138758, A138759.

Sequence in context: A070638 A129861 A055491 this_sequence A032760 A129970 A006830

Adjacent sequences: A032520 A032521 A032522 this_sequence A032524 A032525 A032526

KEYWORD

nonn,nice

AUTHOR

Wouter Meeussen (wouter.meeussen(AT)pandora.be)

EXTENSIONS

Edited by M. F. Hasler (www.univ-ag.fr/~mhasler), Mar 31 2008

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Last modified July 4 13:19 EDT 2008. Contains 140839 sequences.


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