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Search: id:A100609
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| A100609 |
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Decimal expansion of the constant whose continued fraction representation is [e^0; e^1, e^2, e^3, e^4, ...] where e is Euler's constant (A001113) and the exponents cycle through all nonnegative integers. |
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+0
2
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| 1, 3, 5, 0, 5, 4, 3, 6, 0, 4, 3, 2, 2, 1, 1, 2, 4, 1, 8, 0, 4, 7, 0, 9, 8, 3, 2, 4, 6, 5, 9, 7, 4, 8, 3, 6, 8, 6, 6, 1, 4, 6, 7, 3, 3, 2, 0, 5, 8, 3, 6, 4, 0, 4, 6, 6, 5, 6, 0, 2, 9, 1, 6, 6, 2, 8, 0, 9, 4, 7, 1, 9, 0, 4, 4, 1, 2, 4, 5, 8, 4, 5, 3, 8, 1, 5, 9, 0, 7, 8, 9, 4, 6, 5, 2, 5, 1, 9, 2, 4, 2, 6, 6, 0, 9
(list; cons; graph; listen)
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OFFSET
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1,2
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,2000
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EXAMPLE
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1.3505436043221124180470983246597483686614673320583640466560291662809471904412458453815907894652519242660963337...
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MATHEMATICA
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N[FromContinuedFraction[Table[E^k, {k, 0, 15}]], 111] N[FromContinuedFraction[Table[E^k, {k, 0, 25}]], 111]
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PROGRAM
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(PARI) f(n)= { x=0; for (i=1, n, x=1/(exp(1+n-i) + x)); 1+x } { default(realprecision, 2080); y=1.0; n=70; x=f(n); while(x!=y, y=x; n=n+1; x=f(n); ); for (m=1, 2000, d=floor(x); x=(x-d)*10; write("b100609.txt", m, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 03 2009]
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CROSSREFS
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Cf. A001113.
Cf. A055972 Continued fraction. [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 03 2009]
Sequence in context: A153099 A102575 A144541 this_sequence A104866 A165723 A094771
Adjacent sequences: A100606 A100607 A100608 this_sequence A100610 A100611 A100612
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KEYWORD
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cons,nonn
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AUTHOR
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Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004
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EXTENSIONS
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Fixed my PARI program, had -n numbers Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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