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A155615 a(n) = 10^n - 3^n + 1. 5

%I #15 Jul 11 2023 15:20:52

%S 1,8,92,974,9920,99758,999272,9997814,99993440,999980318,9999940952,

%T 99999822854,999999468560,9999998405678,99999995217032,

%U 999999985651094,9999999956953280,99999999870859838,999999999612579512

%N a(n) = 10^n - 3^n + 1.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14,-43,30).

%F G.f.: 1/(1-10*x)-1/(1-3*x)+1/(1-x).

%F E.g.f.: e^(10*x)-e^(3*x)+e^x.

%F a(n) = 13*a(n-1)-30*a(n-2)+18 with a(0)=1, a(1)=8. - _Vincenzo Librandi_, Jul 21 2010

%o (PARI) a(n)=10^n-3^n+1 \\ _Charles R Greathouse IV_, Oct 07 2015

%Y Cf. A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609, A155610, A155611, A155612, A155613, A155614.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 26 2009

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)