Number of integer partitions of n whose distinct parts are the binary indices of some prime number.

Terms

a(0) =0a(1) =0a(2) =1a(3) =1a(4) =3a(5) =3a(6) =6a(7) =8a(8) =12a(9) =14a(10) =21a(11) =29a(12) =36a(13) =48a(14) =56a(15) =74a(16) =94a(17) =123a(18) =144a(19) =195a(20) =235a(21) =301a(22) =356a(23) =456a(24) =538a(25) =679a(26) =803a(27) =997a(28) =1189a(29) =1467