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%I #10 Mar 21 2019 02:39:13
%S 1,4,8,8,0,9,5,5,0,7,8,8,7,7,6,2,2,4,9,6,9,5,6,8,4,6,7,8,6,6,7,9,6,5,
%T 3,1,9,8,2,2,2,4,1,3,2,8,0,8,2,1,7,0,6,7,3,7,1,7,7,0,0,0,0,5,6,3,3,1,
%U 3,9,1,2,6,2,2,3,3,3,7,4,5,1,8,4,9,4,5,1,4,3,7,7,8,8,8,0,8,5,2
%N Decimal expansion of Parity Prime Constant: Sum_{k>=1} (-1)^(k+1) * 1/(2^prime(k)).
%C Binary expansion is given in A071986(n) = pi(n) mod 2.
%F Equals Sum_{k>=1} (-1)^(k+1) * 1/(2^prime(k)).
%F Equals lim_{n->infinity} A122150(n)/A034765(n).
%e 0.148809550788776224969568467866796531982224132808217067371770000563313912...
%t RealDigits[Sum[(-1)^(k+1)*1/2^Prime[k],{k,1,1000}],10,100]
%o (PARI) suminf(k=1, (-1)^(k+1) * 1/2^prime(k)) \\ _Michel Marcus_, Mar 20 2019
%Y Cf. A034765, A122150, A122151, A122152, A122153, A071986, A000720.
%K nonn,cons
%O 0,2
%A _Alexander Adamchuk_, Aug 22 2006
%E Offset corrected by _R. J. Mathar_, Feb 05 2009
%E Edited by _Michel Marcus_, Mar 20 2019
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