A178501 Zero followed by powers of ten.

0, 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000

Offset

0,3

Comments

a(n)^k + reverse(a(n))^k is a palindrome for any positive integer k. - Bui Quang Tuan, Mar 31 2015

Links

Table of n, a(n) for n=0..18.

Index entries for linear recurrences with constant coefficients, signature (10).

Formula

a(n+1) = A011557(n).

a(n) = A178500(n) / 10.

a(n) = (10^n - 0^n)/10. E.g.f.: exp(5*x)*sinh(5x)/5. Binomial transform of A015577. - Paul Barry, Jul 09 2003

G.f.: x/(1 - 10*x). - Chai Wah Wu, Jun 17 2020

Mathematica

Join[{0}, 10^Range[0, 19]] (* Alonso del Arte, Mar 31 2015 *)

Prog

(PARI) a(n)=10^n\10 \\ Charles R Greathouse IV, Oct 07 2015

Crossrefs

Cf. A131577, A140429; subsequence of A029793.

Sequence in context: A136873 A135655 A178500 * A011557 A138825 A290664

Adjacent sequences: A178498 A178499 A178500 * A178502 A178503 A178504

Keyword

nonn,easy

Author

Reinhard Zumkeller, May 28 2010

Status

approved