a(1) = 1, a(2n) = smallest prime > (2n-1)-th partial sum of the sequence itself and a(2n+1) = smallest composite number > 2n-th partial sum of the sequence.

A076636

a(1) = 1, a(2n) = smallest prime > (2n-1)-th partial sum of the sequence itself and a(2n+1) = smallest composite number > 2n-th partial sum of the sequence.