Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =10a(5) =13a(6) =19a(7) =25a(8) =35a(9) =45a(10) =59a(11) =73a(12) =101a(13) =129a(14) =170a(15) =211a(16) =268a(17) =325a(18) =430a(19) =535a(20) =695a(21) =855a(22) =1065a(23) =1275a(24) =1658a(25) =2041a(26) =2572a(27) =3103a(28) =3781a(29) =4459