A013823 a(n) = 2^(5*n + 2).

4, 128, 4096, 131072, 4194304, 134217728, 4294967296, 137438953472, 4398046511104, 140737488355328, 4503599627370496, 144115188075855872, 4611686018427387904, 147573952589676412928, 4722366482869645213696, 151115727451828646838272, 4835703278458516698824704

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, A009976, A013822, A013824, A016873.

Programs

Magma

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

Mathematica

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

Maxima

makelist(2^(5*n+2),n,0,20); /* Martin Ettl, Oct 21 2012 */

Formula

From Philippe Deléham, Nov 24 2008: (Start)

a(n) = 32*a(n-1); a(0)=4.

G.f.: 4/(1-32*x).

a(n) = 4*A009976(n). (End)

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

E.g.f.: 4*exp(32*x).

a(n) = A000079(A016873(n)). (End)

a(n) = 2*A013822(n) = A013824(n)/2. - Paolo Xausa, Feb 21 2025