cp's OEIS Frontend

A059445 Continued fraction for square root of (Pi * e / 2).

%I A059445 #18 Aug 04 2024 12:44:55
%S A059445 2,15,14,1,2,3,17,1,1,5,1,30,1,3,2,1,1,1,3,3,1,4,2,9,2,1,9,1,7,1,6,1,
%T A059445 5,1,5,3,1,1,3,1,36,4,18,2,1,2,4,1,3,366,3,1,1,16,2,1,2,2,1,3,3,1,5,2,
%U A059445 2,34,1,2,2,1,18,1,1,16,1,1,1,3,4,7,1,21,6,5,1,2,1,11,4,1,1,14,4,17,1,1
%N A059445 Continued fraction for square root of (Pi * e / 2).
%D A059445 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," Oxford University Press, Oxford and NY, 2001, page 68.
%H A059445 Harry J. Smith, <a href="/A059445/b059445.txt">Table of n, a(n) for n = 0..19999</a>
%H A059445 C. A. Pickover, "Wonders of Numbers, Adventures in Mathematics, Mind and Meaning," <a href="http://www.zentralblatt-math.org/zmath/en/search/?q=an:0983.00008&amp;format=complete">Zentralblatt review</a>
%e A059445 2.0663656770612464692346959... = 2 + 1/(15 + 1/(14 + 1/(1 + 1/(2 + ...)))). - _Harry J. Smith_, Jun 27 2009
%t A059445 ContinuedFraction[Sqrt[ \[Pi]*\[ExponentialE]/2], 100]
%o A059445 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(Pi*exp(1)/2)); for (n=1, 20000, write("b059445.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, Jun 27 2009
%Y A059445 Cf. A059444 (decimal expansion).
%K A059445 cofr,nonn
%O A059445 0,1
%A A059445 _Robert G. Wilson v_, Feb 01 2001
%E A059445 Offset changed by _Andrew Howroyd_, Aug 04 2024