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Zero followed by powers of ten.
8

%I #36 Jun 18 2020 07:39:17

%S 0,1,10,100,1000,10000,100000,1000000,10000000,100000000,1000000000,

%T 10000000000,100000000000,1000000000000,10000000000000,

%U 100000000000000,1000000000000000,10000000000000000,100000000000000000

%N Zero followed by powers of ten.

%C a(n)^k + reverse(a(n))^k is a palindrome for any positive integer k. - _Bui Quang Tuan_, Mar 31 2015

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (10).

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

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

%F 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

%F G.f.: x/(1 - 10*x). - _Chai Wah Wu_, Jun 17 2020

%t Join[{0}, 10^Range[0, 19]] (* _Alonso del Arte_, Mar 31 2015 *)

%o (PARI) a(n)=10^n\10 \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Cf. A131577, A140429; subsequence of A029793.

%K nonn,easy

%O 0,3

%A _Reinhard Zumkeller_, May 28 2010