a(n) is the smallest divisor of the partition number P(n) = A000041(n) not already in the sequence.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =15a(7) =22a(8) =6a(9) =14a(10) =4a(11) =77a(12) =101a(13) =9a(14) =8a(15) =21a(16) =27a(17) =35a(18) =10a(19) =19a(20) =12a(21) =167a(22) =251a(23) =25a(24) =89a(25) =28a(26) =43a(27) =13a(28) =55a(29) =467