A013747 -id:A013747 - cp's OEIS frontend

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

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

Offset: 0

N. J. A. Sloane

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

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).

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

Cf. A005408, A098608, A013747.

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

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

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

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

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

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)

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

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

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).

Subsequence of A011557 (10^n).

Cf. A013730, A013736, A013747, A016777.

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

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

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

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)

A013767 a(n) = 20^(3*n + 2).

Original entry on oeis.org

400, 3200000, 25600000000, 204800000000000, 1638400000000000000, 13107200000000000000000, 104857600000000000000000000, 838860800000000000000000000000, 6710886400000000000000000000000000, 53687091200000000000000000000000000000, 429496729600000000000000000000000000000000

Offset: 0

N. J. A. Sloane

Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences.
Index entries for linear recurrences with constant coefficients, signature (8000).

Subsequence of A009964.

Cf. A013731, A013747, A016789.

[20^(3*n+2): n in [0..10]]; // Vincenzo Librandi, Jun 27 2011

NestList[8000#&,400,10] (* Harvey P. Dale, May 11 2018 *)

a(n)=20^(3*n+2) \\ Charles R Greathouse IV, Jul 10 2016

From Elmo R. Oliveira, Feb 27 2025: (Start)
G.f.: 400/(1 - 8000*x).
E.g.f.: 400*exp(8000*x).
a(n) = A013731(n)*A013747(n) = A009964(A016789(n)). (End)

cp's OEIS Frontend

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

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

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A013767 a(n) = 20^(3*n + 2).

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