First differences of roots of consecutive prime powers; a(1)=1.

Terms

a(0) =1a(1) =1a(2) =-1a(3) =3a(4) =2a(5) =-5a(6) =1a(7) =8a(8) =2a(9) =-11a(10) =15a(11) =2a(12) =4a(13) =-18a(14) =-2a(15) =26a(16) =2a(17) =-29a(18) =35a(19) =4a(20) =2a(21) =4a(22) =-40a(23) =46a(24) =6a(25) =2a(26) =-59a(27) =65a(28) =4a(29) =2