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A019609
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Decimal expansion of Pi*e.
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19
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8, 5, 3, 9, 7, 3, 4, 2, 2, 2, 6, 7, 3, 5, 6, 7, 0, 6, 5, 4, 6, 3, 5, 5, 0, 8, 6, 9, 5, 4, 6, 5, 7, 4, 4, 9, 5, 0, 3, 4, 8, 8, 8, 5, 3, 5, 7, 6, 5, 1, 1, 4, 9, 6, 1, 8, 7, 9, 6, 0, 1, 1, 3, 0, 1, 7, 9, 2, 2, 8, 6, 1, 1, 1, 5, 7, 3, 3, 0, 8, 0, 7, 5, 7, 2, 5, 6, 3, 8, 6, 9, 7, 1, 0, 4, 7, 3, 9, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Pi*E ~= 316211059661164487904100/37028208538575230865001 [From Alexander R. Povolotsky (pevnev(AT)juno.com), Aug 06 2009]
Pi*E ~= 2*(sum(1/product((2*k-1),k=1...n),n=1...infinity )+725013737/1105744026)^2 [From Alexander R. Povolotsky (pevnev(AT)juno.com), Aug 08 2009]
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LINKS
| Harry J. Smith, Table of n, a(n) for n = 1..20000
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FORMULA
| lim k-->oo 4k/u(k)^2 where u(1)=0, u(2)=1, u(k+2)=u(k+1)+u(k)/(2k). - Benoit Cloitre, Aug 14 2003
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EXAMPLE
| 8.53973422267356706546355086954657449503488853576511496187960113...
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MATHEMATICA
| RealDigits[N[Pi*E, 6! ]][[1]] (* From Vladimir Orlovsky, Jun 18 2009 *)
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PROG
| (PARI) { default(realprecision, 20080); x=Pi*exp(1); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b019609.txt", n, " ", d)); } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Apr 27 2009]
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CROSSREFS
| A159822 is the continued fraction for Pi*e.
Sequence in context: A011466 A154509 A081885 * A093341 A134973 A030437
Adjacent sequences: A019606 A019607 A019608 * A019610 A019611 A019612
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KEYWORD
| nonn,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| Checked by Neven Juric (neven.juric(AT)apis-it.hr), Feb 04 2008
Fixed my PARI program, had -n Harry J. Smith (hjsmithh(AT)sbcglobal.net), May 19 2009
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