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A016163 Expansion of 1/((1-5x)(1-9x)). 1

%I #16 Sep 28 2023 14:28:02

%S 1,14,151,1484,13981,128954,1176211,10664024,96366841,869254694,

%T 7833057871,70546348964,635161281301,5717672234834,51465153629131,

%U 463216900240304,4169104690053361,37522705149933374,337708161046665991

%N Expansion of 1/((1-5x)(1-9x)).

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14, -45).

%F a(n) = ((7+sqrt4)^n - (7-sqrt4)^n)/4. Offset 1. a(3)=151. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008

%F a(n) = 14*a(n-1) - 45*a(n-2). - _Philippe Deléham_, Jan 01 2009

%F a(0)=1, a(n) = 9*a(n-1) + 5^n. - _Vincenzo Librandi_, Feb 09 2011

%t Join[{a=1,b=14},Table[c=14*b-45*a;a=b;b=c,{n,60}]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 01 2011 *)

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)