a(n) = 2^n - n^k, where k is the largest integer such that 2^n >= n^k.

Terms

a(0) =0a(1) =5a(2) =0a(3) =7a(4) =28a(5) =79a(6) =192a(7) =431a(8) =24a(9) =717a(10) =2368a(11) =5995a(12) =13640a(13) =29393a(14) =0a(15) =47551a(16) =157168a(17) =393967a(18) =888576a(19) =1902671a(20) =3960048a(21) =1952265a(22) =8814592a(23) =23788807a(24) =55227488a(25) =119868821a(26) =251225088a(27) =516359763a(28) =344741824a(29) =1259979967