A254429 a(0) = 0; for n >= 0, a(n+1) = 2^a(n) + 1.

0, 2, 5, 33, 8589934593

Offset: 0

Author

Max Alekseyev, Jan 30 2015

Keywords

• nonn

Crossrefs

Cf. A007013, A254411.

Cf. A000051.

Programs

Haskell

a254429 n = a254429_list !! n
a254429_list = iterate ((+ 1) . (2 ^)) 0
-- Reinhard Zumkeller, Jan 31 2015

Magma

[n le 2 select 2*(n-1) else 2^Self(n-1)+1: n in [1..5]]; // Vincenzo Librandi, Feb 01 2015

Mathematica

RecurrenceTable[{a[0]==0, a[n]==2^a[n-1] + 1}, a, {n, 5}] (* Vincenzo Librandi, Feb 01 2015 *)
NestList[2^#+1&,0,4] (* Harvey P. Dale, Mar 26 2023 *)

Formula

a(n+1) = A000051(a(n)). - Reinhard Zumkeller, Jan 31 2015