A269229 Decimal expansion of the sum of the alternating series of reciprocals of composite numbers.
1, 5, 1, 8, 6, 7, 7, 8, 8, 1, 2, 3, 0, 1
Offset: 0
Examples
0.15186778812301...
Links
- Eric Weisstein's World of Mathematics, Prime Sums
- Eric Weisstein's World of Mathematics, Prime Zeta Function
- Wikipedia, Prime Zeta Function
Formula
-Sum_{k>=1} (-1)^k/A002808(k) = 1/4 - 1/6 + 1/8 - 1/9 + 1/10 - 1/12 + ...
Equals 1 - A275712. - Jon E. Schoenfield, Nov 11 2016
Extensions
Corrected by Jon E. Schoenfield, Nov 05 2016
Several dubious programs deleted by N. J. A. Sloane, Nov 07 2016
a(12)-a(13) from Robert Price, Nov 14 2016