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A146084 Expansion of 1/(1-x(1-12x)). 3

%I

%S 1,1,-11,-23,109,385,-923,-5543,5533,72049,5653,-858935,-926771,

%T 9380449,20501701,-92063687,-338084099,766680145,4823689333,

%U -4376472407,-62260744403,-9743075519,737385857317,854302763545,-7994327524259

%N Expansion of 1/(1-x(1-12x)).

%C Row sums of Riordan array (1,x(1-12x)).

%H G. C. Greubel, <a href="/A146084/b146084.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = a(n-1)-12*a(n-2), a(0)=1, a(1)=1.

%F a(n) = Sum_{k, 0<=k<=n} A109466(n,k)*12^(n-k).

%F a(n) = (1/2)*[(1/2)+(1/2)*I*sqrt(47)]^n-(1/94)*I*[(1/2)+(1/2)*I*sqrt(47)]^n*sqrt(47)+(1/2)*[(1/2) -(1/2)*I*sqrt(47)]^n+(1/94)*I*[(1/2)-(1/2)*I*sqrt(47)]^n*sqrt(47), with n>=0 and I=sqrt(-1). - _Paolo P. Lava_, Nov 18 2008

%t LinearRecurrence[{1, -12}, {1, 1}, 100] (* _G. C. Greubel_, Jan 30 2016 *)

%o (Sage) [lucas_number1(n,1,12) for n in xrange(1, 26)] # _Zerinvary Lajos_, Apr 22 2009

%o (PARI) Vec(1/(1-x(1-12*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%Y Cf. A010892, A107920, A106852, A106853, A106854, A145934, A145976, A145978, A146078, A146080, A146083

%K sign,easy

%O 0,3

%A _Philippe Deléham_, Oct 27 2008

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Last modified May 23 07:08 EDT 2019. Contains 323508 sequences. (Running on oeis4.)