Inverse binomial transform of primes.

Terms

a(0) =2a(1) =1a(2) =1a(3) =-1a(4) =3a(5) =-9a(6) =23a(7) =-53a(8) =115a(9) =-237a(10) =457a(11) =-801a(12) =1213a(13) =-1389a(14) =445a(15) =3667a(16) =-15081a(17) =41335a(18) =-95059a(19) =195769a(20) =-370803a(21) =652463a(22) =-1063359a(23) =1570205a(24) =-1961755a(25) =1560269a(26) =1401991a(27) =-11023119a(28) =36000427a(29) =-93408425