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A163166 a(n) = 20*a(n-1)-95*a(n-2) for n > 1; a(0) = 1, a(1) = 10. 0

%I

%S 1,10,105,1150,13025,151250,1787625,21383750,257850625,3125556250,

%T 38015315625,463378468750,5656114390625,69101333281250,

%U 844695798515625,10329289308593750,126339685312890625,1545511221941406250

%N a(n) = 20*a(n-1)-95*a(n-2) for n > 1; a(0) = 1, a(1) = 10.

%C Binomial transform of A152261. Tenth binomial transform of powers of 5 interleaved with zeros.

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (20,-95).

%F a(n) = ((10+sqrt(5))^n+(10-sqrt(5))^n)/2.

%F G.f.: (1-10*x)/(1-20*x+95*x^2).

%t LinearRecurrence[{20,-95},{1,10},20] (* _Harvey P. Dale_, Jul 08 2017 *)

%o (MAGMA) [ n le 2 select 9*n-8 else 20*Self(n-1)-95*Self(n-2): n in [1..18] ];

%Y Cf. A000351 (powers of 5), A152261.

%K nonn,easy

%O 0,2

%A _Klaus Brockhaus_, Jul 22 2009

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)