A073891 - OEIS

A073891

a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.

%I #5 Jun 24 2014 01:08:25

%S 1,5,3,9,6,14,9,18,11,21,10,22,9,23,6,21,2,18,-5,13,-16,4,-27,-6,-43,

%T -21,-62,-38,-81,-56,-103,-77,-130,-103,-162,-134,-195,-165,-232,-200,

%U -271,-238,-311,-277,-356,-321,-404,-368,-457,-419,-516,-477,-578,-538,-641,-599,-706,-662,-771,-726,-839,-793

%N a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.

%C All terms from a(23) onward are negative.

%Y Cf. A073892.

%K sign

%O 1,2

%A _Amarnath Murthy_, Aug 17 2002

%E Edited by _Dean Hickerson_, Oct 13 2002