A013830 a(n) = 4^(5*n + 1).

4, 4096, 4194304, 4294967296, 4398046511104, 4503599627370496, 4611686018427387904, 4722366482869645213696, 4835703278458516698824704, 4951760157141521099596496896, 5070602400912917605986812821504

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..100

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (1024).

Formula

From Philippe Deléham, Nov 30 2008: (Start)

a(n) = 1024*a(n-1), n > 0; a(0)=4.

G.f.: 4/(1-1024*x). (End)

Mathematica

4^(5Range[0, 20]+1) (* or *) NestList[1024#&, 4, 20] (* Harvey P. Dale, Oct 04 2011 *)

Prog

(Magma) [4^(5*n+1): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011
(PARI) a(n)=4^(5*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Crossrefs

Cf. A000302 (4^n), A016861 (5*n+1).

Sequence in context: A221191 A110104 A024061 * A320860 A067482 A249804

Adjacent sequences: A013827 A013828 A013829 * A013831 A013832 A013833

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved