|
| |
|
|
A032523
|
|
Index of first occurrence of n as a term in A001203, the continued fraction for Pi.
|
|
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; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| 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
All positive integers <= 33674 occur in the first 5,821,569,425 terms of the c.f. - Eric Weisstein, Sep 19 2011
|
|
|
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's World of Mathematics, Pi Continued Fraction
|
|
|
FORMULA
| A032523(n) = min { k | A001203(k)=n }. - M. F. Hasler, Mar 31 2008
|
|
|
PROG
| (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: A152205 A129861 A055491 * A032760 A129970 A006830
Adjacent sequences: A032520 A032521 A032522 * 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
|
| |
|
|
