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Continued fraction for zeta(1/2) (negated).
2

%I #7 Dec 24 2015 23:41:10

%S 1,2,5,1,4,6,1,1,2,6,1,1,2,1,1,1,37,3,2,1,2,4,1,368,2,1,23,18,1,1,2,2,

%T 2,11,1,4,1,5,40,1,2,1,2,1,1,1,1,2,4,1,10,2,5,4,1,12,2,5,3,1,7,2,1,2,

%U 1,1,1,6,1,12,1,2,2,2,1,2,36,2,3,1,1,1,4,3,2,45,4,5,1,1,7,3,1,1,3,6,2,1,19

%N Continued fraction for zeta(1/2) (negated).

%H Harry J. Smith, <a href="/A161688/b161688.txt">Table of n, a(n) for n = 0..5000</a>

%e 1.460354508809586812889499152... = 1 + 1/(2 + 1/(5 + 1/(1 + 1/(4 + ...))))

%o (PARI) { allocatemem(932245000); default(realprecision, 5400); x=contfrac(-zeta(1/2)); for (n=0, 5000, write("b161688.txt", n, " ", x[n+1])); }

%Y Cf. A059750 Decimal expansion.

%K nonn

%O 0,2

%A _Harry J. Smith_, Jun 29 2009