A013758 a(n) = 16^(3n+1).

16, 65536, 268435456, 1099511627776, 4503599627370496, 18446744073709551616, 75557863725914323419136, 309485009821345068724781056, 1267650600228229401496703205376, 5192296858534827628530496329220096

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 (4096).

Formula

From Philippe Deléham, Dec 03 2008: (Start)

a(n) = 4096*a(n-1), n>0; a(0)=16.

G.f.: 16/(1-4096*x).

a(n) = 2*A013788(n). (End)

Mathematica

lst={}; Do[AppendTo[lst, 16^(3*n+1)], {n, 0, 4!}]; lst (* Vladimir Joseph Stephan Orlovsky, Mar 02 2009 *)
16^(3Range[0, 20]+1) (* or *) NestList[4096#&, 16, 20] (* Harvey P. Dale, Aug 14 2021 *)

Prog

(Magma) [16^(3*n+1): n in [0..15]]; // Vincenzo Librandi, May 24 2011
(PARI) a(n)=16<<(12*n) \\ Charles R Greathouse IV, May 24 2011

Crossrefs

Cf. A013788.

Sequence in context: A185141 A087586 A105312 * A078186 A217026 A087926

Adjacent sequences: A013755 A013756 A013757 * A013759 A013760 A013761

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved