A013793 a(n) = 10^(4*n + 3).

1000, 10000000, 100000000000, 1000000000000000, 10000000000000000000, 100000000000000000000000, 1000000000000000000000000000, 10000000000000000000000000000000, 100000000000000000000000000000000000, 1000000000000000000000000000000000000000

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 (10000).

Crossrefs

Cf. A004767, A011557, A013715, A013777, A013783, A098608.

Programs

Magma

[10^(4*n+3): n in [0..10]]; // Vincenzo Librandi, Jun 28 2011

Mathematica

10^(4*Range[0, 10] + 3) (* or *)
NestList[10000*# &, 1000, 10] (* Paolo Xausa, Jul 21 2025 *)

Maxima

makelist(10^(4*n+3),n,0,20); /* Martin Ettl, Oct 21 2012 */

Formula

From Elmo R. Oliveira, Aug 30 2024: (Start)

G.f.: 1000/(1 - 10000*x).

E.g.f.: 1000*exp(10000*x).

a(n) = 10000*a(n-1) for n > 0.

a(n) = A011557(A004767(n)) = A013715(n)*A098608(n+1) = A013777(n)*A013783(n). (End)