A013824 a(n) = 2^(5*n + 3).

8, 256, 8192, 262144, 8388608, 268435456, 8589934592, 274877906944, 8796093022208, 281474976710656, 9007199254740992, 288230376151711744, 9223372036854775808, 295147905179352825856, 9444732965739290427392, 302231454903657293676544, 9671406556917033397649408

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, A013822, A013823, A016885 (5*n+3).

Programs

Magma

[2^(5*n+3): n in [0..15]]; // Vincenzo Librandi, Jul 07 2011

Mathematica

2^(5*Range[0, 20] + 3) (* Paolo Xausa, Feb 21 2025 *)

PARI

a(n)=2^(5*n+3) \\ 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)=8.

G.f.: 8/(1-32*x).

a(n) = 8*A009976(n). (End)

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

E.g.f.: 8*exp(32*x).

a(n) = A000079(A016885(n)). (End)

a(n) = 2*A013823(n) = 4*A013822(n). - Paolo Xausa, Feb 21 2025