a(n) is the number of primes occurring between A053182(n) and A053183(n) (excluding the endpoints).

Terms

a(0) =2a(1) =3a(2) =7a(3) =55a(4) =255a(5) =478a(6) =663a(7) =984a(8) =1237a(9) =1955a(10) =3021a(11) =3214a(12) =8312a(13) =13519a(14) =38267a(15) =40805a(16) =45400a(17) =47444a(18) =48835a(19) =55269a(20) =56758a(21) =59032a(22) =66067a(23) =92141a(24) =93063a(25) =103620a(26) =106611a(27) =108602a(28) =112713a(29) =140874