A013822 a(n) = 2^(5*n + 1).

2, 64, 2048, 65536, 2097152, 67108864, 2147483648, 68719476736, 2199023255552, 70368744177664, 2251799813685248, 72057594037927936, 2305843009213693952, 73786976294838206464, 2361183241434822606848, 75557863725914323419136, 2417851639229258349412352, 77371252455336267181195264

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 (32).

Crossrefs

Cf. A000079 (2^n), A009976, A016861 (5*n+1).

Programs

Magma

[2^(5*n+1): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011

Mathematica

2^(5*Range[0,20]+1) (* or *) NestList[32#&,2,20] (* Harvey P. Dale, Aug 20 2020 *)

PARI

a(n)=2^(5*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 24 2008: (Start)

a(n) = 32*a(n-1), n > 0; a(0)=2.

G.f.: 2/(1-32*x).

a(n) = 2*A009976(n). (End)

From Elmo R. Oliveira, Feb 18 2025: (Start)

E.g.f.: 2*exp(32*x).

a(n) = A000079(A016861(n)). (End)