A013825 a(n) = 2^(5*n + 4).

16, 512, 16384, 524288, 16777216, 536870912, 17179869184, 549755813888, 17592186044416, 562949953421312, 18014398509481984, 576460752303423488, 18446744073709551616, 590295810358705651712, 18889465931478580854784, 604462909807314587353088, 19342813113834066795298816

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..200
• Tanya Khovanova, Recursive Sequences.
• Index entries for linear recurrences with constant coefficients, signature (32).

Crossrefs

Cf. A000079 (2^n), A009976, A016897 (5*n+4).

Programs

Magma

[2^(5*n+4): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011

Mathematica

2^(5*Range[0, 20] + 4) (* or *) NestList[32#&,16,20] (* Harvey P. Dale, Sep 27 2015 *)

Formula

From Philippe Deléham, Nov 24 2008: (Start)

a(n) = 32*a(n-1), n > 0; a(0)=16.

G.f.: 16/(1-32*x).

a(n) = 16*A009976(n). (End)

From Elmo R. Oliveira, Feb 20 2025: (Start)

E.g.f.: 16*exp(32*x).

a(n) = A000079(A016897(n)). (End)