login
Continued fraction for 2^sqrt(2), A007507.
1

%I #17 Aug 04 2024 12:44:20

%S 2,1,1,1,72,3,4,1,3,2,1,1,1,14,1,2,1,1,3,1,3,1,2,1,1,2,1,1,1,2,9,1,2,

%T 1,4,1,1,6,4,8,1,6,2,1,1,1,1,1,5,1,6,1,1,2,2,6,68,1,3,3,4,10,8,4,1,16,

%U 10,1,1,3,1,25,2,3,2,1,3,6,2,1,2,3,29,1,4,3,4,3,2,5,2,1,1,2,13,1,8,1,4,1

%N Continued fraction for 2^sqrt(2), A007507.

%H Harry J. Smith, <a href="/A062979/b062979.txt">Table of n, a(n) for n = 0..19999</a>

%e 2^sqrt(2) = 2.66514414269022... = 2 + 1/(1 + 1/(1 + 1/(1 + 1/(72 + ...)))). - _Harry J. Smith_, Apr 21 2009

%t ContinuedFraction[2^Sqrt[2],100] (* _Harvey P. Dale_, Oct 16 2012 *)

%o (PARI) contfrac(2^(sqrt(2)))

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^sqrt(2)); for (n=1, 20000, write("b062979.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, Apr 21 2009

%Y Cf. A007507 (decimal expansion).

%K cofr,nonn

%O 0,1

%A _Jason Earls_, Jul 24 2001

%E Offset changed by _Andrew Howroyd_, Aug 04 2024