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a(n) = 10^(4*n + 3).
1

%I #24 Sep 07 2024 03:22:28

%S 1000,10000000,100000000000,1000000000000000,10000000000000000000,

%T 100000000000000000000000,1000000000000000000000000000,

%U 10000000000000000000000000000000,100000000000000000000000000000000000,1000000000000000000000000000000000000000

%N a(n) = 10^(4*n + 3).

%H Vincenzo Librandi, <a href="/A013793/b013793.txt">Table of n, a(n) for n = 0..100</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>.

%H <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (10000).

%F From _Elmo R. Oliveira_, Aug 30 2024: (Start)

%F G.f.: 1000/(1 - 10000*x).

%F E.g.f.: 1000*exp(10000*x).

%F a(n) = 10000*a(n-1) for n > 0.

%F a(n) = A011557(A004767(n)) = A013715(n)*A098608(n+1) = A013777(n)*A013783(n). (End)

%o (Magma) [10^(4*n+3): n in [0..10]]; // _Vincenzo Librandi_, Jun 28 2011

%o (Maxima) makelist(10^(4*n+3),n,0,20); /* _Martin Ettl_, Oct 21 2012 */

%Y Cf. A004767, A011557, A013715, A013777, A013783, A098608.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_