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

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

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

Programs

Magma

[4^(5*n+1): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011

Mathematica

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

PARI

a(n)=4^(5*n+1) \\ Charles R Greathouse IV, Jul 11 2016

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)