A013715 a(n) = 10^(2*n+1).

10, 1000, 100000, 10000000, 1000000000, 100000000000, 10000000000000, 1000000000000000, 100000000000000000, 10000000000000000000, 1000000000000000000000, 100000000000000000000000, 10000000000000000000000000, 1000000000000000000000000000, 100000000000000000000000000000

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Bisection of A011557 (powers of 10). - Michel Marcus, Jan 17 2016

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 (100).

Crossrefs

Cf. A013708-A013714, A013716-A013729, A011557.

Cf. A005408, A098608, A013747.

Programs

Magma

[10^(2*n+1): n in [0..20]]; // Vincenzo Librandi, Jun 26 2011

Maple

seq(10^(2*n+1),n=0..11); # Nathaniel Johnston, Jun 25 2011

Mathematica

10^(2 Range[0, 15] + 1) (* Wesley Ivan Hurt, Jan 17 2016 *)

PARI

a(n) = 10^(2*n+1); \\ Michel Marcus, Jan 17 2016

PARI

Vec(10/(1-100*x) + O(x^100)) \\ Altug Alkan, Jan 17 2016

Formula

From Philippe Deléham, Nov 25 2008: (Start)

G.f.: 10/(1-100*x).

a(n) = 100*a(n-1), n>0; a(0)=10. (End)

From Elmo R. Oliveira, Aug 26 2024 (Start)

E.g.f.: 10*exp(100*x).

a(n) = 10*A098608(n) = A011557(A005408(n)) = A013747(n)/10^(n+1). (End)