A013746 a(n) = 10^(3*n + 1).

10, 10000, 10000000, 10000000000, 10000000000000, 10000000000000000, 10000000000000000000, 10000000000000000000000, 10000000000000000000000000, 10000000000000000000000000000, 10000000000000000000000000000000, 10000000000000000000000000000000000

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 (1000).

Crossrefs

Subsequence of A011557 (10^n).

Cf. A013730, A013736, A013747, A016777.

Programs

Magma

[10^(3*n+1): n in [0..15]]; // Vincenzo Librandi, Jun 26 2011

Mathematica

10^(3Range[0,10]+1)  (* Harvey P. Dale, Mar 28 2011 *)

PARI

a(n)=10^(3*n+1) \\ Charles R Greathouse IV, Jul 11 2016

Formula

From Philippe Deléham, Nov 30 2008: (Start)

a(n) = 1000*a(n-1); a(0)=10.

G.f.: 10/(1-1000*x). (End)

From Elmo R. Oliveira, Jul 07 2025: (Start)

E.g.f.: 10*exp(1000*x).

a(n) = A013747(n)/10 = A013730(n)*A013736(n) = A011557(A016777(n)). (End)