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A058293 Continued fraction for square root of 2Pi. 2

%I #13 Dec 15 2017 17:34:53

%S 2,1,1,37,4,1,1,1,1,9,1,1,2,8,6,1,2,2,1,3,1,4,1,1,32,1,1,5,1,1,55,6,1,

%T 1,3,1,3,3,1,3,1,1,3,4,2,1,5,1,1,2,1,95,3,1,8,1,1,1,3,22,1,1,2,1,1,7,

%U 4,5,1,1,1,204,6,2,16,1,4,1,21,1,1,1,93,1,1,71,1,2,1,1,1,1,1,1,25,1,2,5

%N Continued fraction for square root of 2Pi.

%H Harry J. Smith, <a href="/A058293/b058293.txt">Table of n, a(n) for n = 0..20000</a>

%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 2.50662827463100050241576528... = 2 + 1/(1 + 1/(1 + 1/(37 + 1/(4 + ...)))). - _Harry J. Smith_, May 31 2009

%t ContinuedFraction[ Sqrt[2Pi], 100 ]

%o (PARI) contfrac(sqrt(2*Pi))

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(2*Pi)); for (n=0, 20000, write("b058293.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, May 31 2009

%Y Cf. A019727 Decimal expansion. - _Harry J. Smith_, May 31 2009

%K cofr,nonn,easy

%O 0,1

%A _Robert G. Wilson v_, Dec 07 2000

%E More terms from _Jason Earls_, Jul 03 2001

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Last modified May 18 19:36 EDT 2024. Contains 372666 sequences. (Running on oeis4.)