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%I #8 Jul 19 2015 09:04:25
%S 15,33,39,51,69,75,87,105,117,123,129,141,159,177,183,189,195,201,213,
%T 219,231,243,249,255,267,279,285,303,309,315,321,327,333,339,357,369,
%U 375,381,393,399,411,429,435,447,453,459,465,483,489,495,501,513,519
%N Odd nonprimes in an alternating 1-based sum up to some odd nonprime.
%C Define the alternating sum S(u) = sum_{k=0..u} (1-(-1)^k*k) = A064455(u+1) as in A162886.
%C Evaluate the sum with upper limits u= 1,9, 15, 21... from A014076, and add S(u) to this sequence here whenever it is itself a member of A014076.
%e The sequence S(u) = 3, 15, 24, 33, 39, 42, 51, 54, 60, 69, ... is generated by u = 1, 9, 15, 21, ...
%e The first S-term, 3, is prime, and therefore not added to the sequence. The second S-term, 15, is an odd nonprime and added to the sequence. The third, 24, is even and not added to the sequence.
%Y Cf. A014076.
%K nonn,less
%O 1,1
%A _Juri-Stepan Gerasimov_, Jul 16 2009
%E 3 removed by _R. J. Mathar_, Aug 27 2009
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