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A053300
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Continued fraction for Pi/2.
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6
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1, 1, 1, 3, 31, 1, 145, 1, 4, 2, 8, 1, 6, 1, 2, 3, 1, 4, 1, 5, 1, 41, 1, 2, 3, 7, 1, 1, 1, 27, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 49, 2, 1, 4, 3, 6, 2, 1, 3, 3, 17, 1, 3, 2, 1, 6, 3, 1, 6, 26, 3, 1, 1, 3, 4, 3, 2, 14, 11, 1, 4, 1, 1, 5, 2, 8, 8, 2, 80, 1, 1, 22, 2, 11, 2, 1
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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REFERENCES
| I. Rosenholtz, Tangent sequences, world records, ..., Math. Mag., 72 (No. 5, 1999), 367-376.
Solution to Problem 10640, Amer. Math. Monthly, 107 (2000), 177-178.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,20000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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EXAMPLE
| 1.57079632679489661923132169... = 1 + 1/(1 + 1/(1 + 1/(3 + 1/(31 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
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MATHEMATICA
| ContinuedFraction[ Pi/2, 100 ]
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PROG
| (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi/2); for (n=0, 20000, write("b053300.txt", n, " ", x[n+1])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
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CROSSREFS
| Cf. A001203.
Cf. A019669 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 31 2009]
Sequence in context: A145385 A059232 A068698 * A089281 A090543 A139090
Adjacent sequences: A053297 A053298 A053299 * A053301 A053302 A053303
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KEYWORD
| nonn,cofr
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Mar 21 2000
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