A161684 - OEIS

%I #10 Dec 24 2015 23:40:24

%S 1,9,31,1,1,17,2,3,3,2,3,1,1,2,2,1,4,9,1,3,1,1,3,2,3,3,2,10,7,1,5,1,9,

%T 1,13,1,1,1,1,1,4,3,4,8,1,3,7,1,15,1,3,1,3,5,2,1,1,5,1,1,5,1,3,3,2,33,

%U 1,4,3,111,3,1,3,4,1,5,1,5,31,1,8,1,2,2,1,1,12,1,5,3,2,1,1,1,1,147,3,2,3,8

%N Continued fraction for Pi/(2*sqrt(2)).

%H Harry J. Smith, <a href="/A161684/b161684.txt">Table of n, a(n) for n = 0..20000</a>

%e 1.11072073453959156175397024... = 1 + 1/(9 + 1/(31 + 1/(1 + 1/(1 + ...))))

%t ContinuedFraction[Pi/(2Sqrt[2]),100] (* _Harvey P. Dale_, Oct 22 2011 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi*sqrt(2)/4); for (n=0, 20000, write("b161684.txt", n, " ", x[n+1])); }

%Y Cf. A093954 Decimal expansion.

%K nonn,cofr

%O 0,2

%A _Harry J. Smith_, Jun 17 2009