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A155590 a(n) = 7^n+2^n-1^n. 21

%I #21 Mar 10 2022 05:34:19

%S 1,8,52,350,2416,16838,117712,823670,5765056,40354118,282476272,

%T 1977328790,13841291296,96889018598,678223089232,4747561542710,

%U 33232930635136,232630514118278,1628413598172592,11398895185897430

%N a(n) = 7^n+2^n-1^n.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-23,14).

%F G.f.: 1/(1-7*x)+1/(1-2*x)-1/(1-x). E.g.f.: e^(7*x)+e^(2*x)-e^x.

%F a(n) = 9*a(n-1)-14*a(n-2)-6 with a(0)=1, a(1)=8 - _Vincenzo Librandi_, Jul 21 2010

%F a(n) = A074602(n)-1. - _R. J. Mathar_, Mar 10 2022

%o (PARI) a(n)=7^n+2^n-1 \\ _Charles R Greathouse IV_, Sep 24 2015

%Y Cf. A074501, A074600, A005057, A005056, A099393, A155588, A155590.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 24 2009

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Last modified April 24 17:20 EDT 2024. Contains 371962 sequences. (Running on oeis4.)