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A061444
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Decimal expansion of log(2 * Pi).
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5
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1, 8, 3, 7, 8, 7, 7, 0, 6, 6, 4, 0, 9, 3, 4, 5, 4, 8, 3, 5, 6, 0, 6, 5, 9, 4, 7, 2, 8, 1, 1, 2, 3, 5, 2, 7, 9, 7, 2, 2, 7, 9, 4, 9, 4, 7, 2, 7, 5, 5, 6, 6, 8, 2, 5, 6, 3, 4, 3, 0, 3, 0, 8, 0, 9, 6, 5, 5, 3, 1, 3, 9, 1, 8, 5, 4, 5, 2, 0, 7, 9, 5, 3, 8, 9, 4, 8, 6, 5, 9, 7, 2, 7, 1, 9, 0, 8, 3, 9, 5, 2, 4
(list; constant; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Used in formulae for gamma(x), e.g. in Stirling's approximation of m!.
Also decimal expansion of zeta'(0)/zeta(0) - Benoit Cloitre, Sep 28 2002
The value of log(2*Pi) is close to 1 + sum(n>=2, log(zeta(n)) ) = 1.83067035427178011248.... [From Arkadiusz Wesolowski, Jul 17 2011]
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,20000
S. Plouffe, log(2*Pi) to 10000 digits
S. Plouffe, Log(2*pi) to 2000 places
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FORMULA
| Equals A002162 + A053510 = A131659 - A094642. - R. J. Mathar, Aug 27 2011
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EXAMPLE
| 1.837877066409345483560659472811235279722794947275566825634303...
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MATHEMATICA
| RealDigits[N[Log[2*Pi], 100]][[1]] (* Arkadiusz Wesolowski, Aug 29 2011 *)
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PROG
| (PARI) { default(realprecision, 20080); x=log(2*Pi); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b061444.txt", n, " ", d)) } [From Harry J. Smith, Jul 22 2009]
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CROSSREFS
| Sequence in context: A131654 A033990 A099284 * A011214 A119806 A089260
Adjacent sequences: A061441 A061442 A061443 * A061445 A061446 A061447
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KEYWORD
| nonn,cons
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AUTHOR
| Frank.Ellermann(AT)t-online.de, Jun 11 2001
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