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

0,2

Links

Table of n, a(n) for n=0..13.

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

Example

0.15186778812301...

Crossrefs

Cf. A078437, A002808, A085548, A242301, A275712.

Sequence in context: A350515 A073116 A201525 * A193089 A154310 A193856

Adjacent sequences: A269226 A269227 A269228 * A269230 A269231 A269232

Keyword

nonn,cons,more

Author

Terry D. Grant, Jul 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

Status

approved