a(n) is the number of ways to express 2*n+1 as a sum of parts x such that x+2 is an odd prime.

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =7a(5) =10a(6) =13a(7) =20a(8) =26a(9) =34a(10) =48a(11) =61a(12) =78a(13) =103a(14) =129a(15) =162a(16) =206a(17) =256a(18) =314a(19) =391a(20) =479a(21) =579a(22) =711a(23) =859a(24) =1028a(25) =1243a(26) =1485a(27) =1764a(28) =2107a(29) =2497