Number of partitions of n into parts with no prime gaps in their factorization.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =7a(5) =11a(6) =15a(7) =22a(8) =30a(9) =41a(10) =55a(11) =75a(12) =98a(13) =129a(14) =168a(15) =218a(16) =279a(17) =358a(18) =453a(19) =573a(20) =719a(21) =899a(22) =1118a(23) =1389a(24) =1712a(25) =2106a(26) =2581a(27) =3152a(28) =3835a(29) =4657