Sums of primes between successive powers of two.

Terms

a(0) =2a(1) =8a(2) =48a(3) =270a(4) =1392a(5) =6862a(6) =32440a(7) =149114a(8) =674344a(9) =3003292a(10) =13234674a(11) =57809228a(12) =250594424a(13) =1079480960a(14) =4624303560a(15) =19720668918a(16) =83744226026a(17) =354354250476