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A155648 a(n) = 10^n + 6^n - 1. 20

%I #24 Jan 06 2024 21:55:56

%S 1,15,135,1215,11295,107775,1046655,10279935,101679615,1010077695,

%T 10060466175,100362797055,1002176782335,10013060694015,

%U 100078364164095,1000470184984575,10002821109907455,100016926659444735

%N a(n) = 10^n + 6^n - 1.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-76,60).

%F G.f.: 1/(1-10*x) + 1/(1-6*x) - 1/(1-x).

%F E.g.f.: e^(10*x) + e^(6*x) - e^x.

%F a(n) = 16*a(n-1) - 60*a(n-2) - 45; a(0)=1, a(1)=15. - _Vincenzo Librandi_, Jul 21 2010

%F a(n) = 17*a(n-1) - 76*a(n-2) + 60*a(n-3); a(0)=1, a(1)=15, a(2)=135. - _Harvey P. Dale_, Mar 30 2014

%t Table[10^n+6^n-1,{n,0,20}] (* or *) LinearRecurrence[{17,-76,60},{1,15,135},20] (* _Harvey P. Dale_, Mar 30 2014 *)

%o (PARI) a(n)=10^n+6^n-1 \\ _Charles R Greathouse IV_, Sep 24 2015

%o (Magma) [10^n + 6^n - 1 : n in [0..20]]; // _Wesley Ivan Hurt_, Jan 06 2024

%Y Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645, A155646, A155647.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 31 2009

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)