Voozh

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, 1000000000000000000, 10000000000000000000, 100000000000000000000

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OFFSET

0,3

COMMENTS

The sequence S consisting of the nonnegative numbers arranged in lexicographic order according to their decimal expansion begins 0, 1, 10, 100, 1000, ..., 2, 20, 200, 2000, ..., 3, 30, ... does not have an OEIS entry, since there are uncountably many terms before 2 appears (or even before 100000010000 appears). However, S does begin with the present sequence. - N. J. A. Sloane, Dec 09 2024

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..21.

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

FORMULA

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

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

From Paul Barry, Jul 09 2003: (Start)

a(n) = (10^n - 0^n)/10.

E.g.f.: exp(5*x)*sinh(5*x)/5.

Binomial transform of A015577. (End)

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