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A055972
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Continued fraction for the number 1 + 1/(e + 1/(e^2 + 1/(e^3 + 1/(e^4 +...)))).
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2
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1, 2, 1, 5, 1, 3, 1, 2, 1, 57, 1, 5, 3, 1, 2847, 7, 1, 1, 3, 4, 4, 8, 1, 1, 48, 1, 1, 2, 1, 2, 81, 1, 2, 3, 12, 1, 1, 1, 5, 1, 3, 1, 6, 1, 5, 3, 2, 1, 2, 1, 3, 1, 2, 1, 1, 5, 6, 96, 1, 1, 1, 1, 1, 3, 1, 19
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,2000
G. Xiao, Contfrac
Index entries for continued fractions for constants
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EXAMPLE
| 1.3505436043221124180470983246597483686...
1.350543604322112418047098324... = 1 + 1/(2 + 1/(1 + 1/(5 + 1/(1 + ...)))) [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 03 2009]
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PROG
| (PARI) f(n)= { x=0; for (i=1, n, x=1/(exp(1+n-i) + x)); 1+x } { allocatemem(932245000); default(realprecision, 2100); y=1.0; n=70; x=f(n); while(x!=y, y=x; n=n+1; x=f(n); ); c=contfrac(x); for (n=1, 2001, write("b055972.txt", n-1, " ", c[n])); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 03 2009]
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CROSSREFS
| Cf. A100609 Decimal expansion. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 03 2009]
Sequence in context: A200778 A132601 A047818 * A079168 A055205 A161686
Adjacent sequences: A055969 A055970 A055971 * A055973 A055974 A055975
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KEYWORD
| cofr,nonn
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AUTHOR
| Leroy Quet Jul 19 2000
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