A046967 a(1) = 2, a(n) = a(n-1)^prime(n) for n > 1.

2, 8, 32768, 40564819207303340847894502572032

Offset

1,1

Links

Amiram Eldar, Table of n, a(n) for n = 1..5

Formula

a(n) = 2^A070826(n). - Amiram Eldar, Oct 12 2024

Example

a(3) = 32768 because (2^3)^5 = 32768.

Mathematica

RecurrenceTable[{a[1]==2, a[n]==a[n-1]^Prime[n]}, a[n], {n, 4}] (* Harvey P. Dale, Jul 18 2011 *)
2^FoldList[Times, 1, Prime[Range[2, 4]]] (* Amiram Eldar, Oct 12 2024 *)

Prog

(PARI) a(n)=if(n<2, 1, a(n-1)^prime(n)) \\ Charles R Greathouse IV, Jun 20 2013

Crossrefs

Cf. A070826.

Sequence in context: A309860 A058437 A185681 * A007753 A272331 A256065

Adjacent sequences: A046964 A046965 A046966 * A046968 A046969 A046970

Keyword

nonn,nice

Author

Felice Russo

Status

approved