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

%I #38 Sep 08 2022 08:44:29

%S 10,40,160,640,2560,10240,40960,163840,655360,2621440,10485760,

%T 41943040,167772160,671088640,2684354560,10737418240,42949672960,

%U 171798691840,687194767360,2748779069440,10995116277760,43980465111040,175921860444160,703687441776640

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

%H Vincenzo Librandi, <a href="/A002066/b002066.txt">Table of n, a(n) for n = 0..500</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 (4).

%F From _Philippe Deléham_, Nov 23 2008: (Start)

%F a(n) = 4*a(n-1), n > 0; a(0)=10.

%F G.f.: 10/(1-4*x). (End)

%t 10*4^Range[0, 100] (* _Vladimir Joseph Stephan Orlovsky_, Jun 09 2011 *)

%o (Magma) [10*4^n: n in [0..30]]; // _Vincenzo Librandi_, May 19 2011

%o (PARI) a(n)=10*4^n \\ _Charles R Greathouse IV_, Apr 18 2012

%Y Pairwise sums of A081294

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_