A155636 - OEIS

%I #19 Aug 03 2024 16:44:03

%S 1,13,105,853,7185,62173,547065,4861093,43437345,389373613,3496550025,

%T 31429887733,282673677105,2543086531453,22882895970585,

%U 205921649672773,1853172776742465,16677944639119693,150098449994264745,1350870791159320213,12157760826488569425,109419465968670562333

%N a(n) = 9^n + 5^n - 1.

%H Paolo Xausa, <a href="/A155636/b155636.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (15,-59,45).

%F G.f.: 1/(1-9*x)+1/(1-5*x)-1/(1-x).

%F E.g.f.: exp(9*x)+exp(5*x)-exp(x).

%F a(n) = 14*a(n-1)-45*a(n-2)-32 with a(0) = 1, a(1) = 13. - _Vincenzo Librandi_, Jul 21 2010

%t Table[9^n + 5^n - 1, {n, 0, 25}] (* _Paolo Xausa_, Aug 03 2024 *)

%o (PARI) a(n)=9^n+5^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015

%Y Cf. A155624, A155625, A155626, A155627, A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635.

%K nonn,easy

%O 0,2

%A _Mohammad K. Azarian_, Jan 30 2009