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A146084 Expansion of 1/(1-x(1-12x)). 3
1, 1, -11, -23, 109, 385, -923, -5543, 5533, 72049, 5653, -858935, -926771, 9380449, 20501701, -92063687, -338084099, 766680145, 4823689333, -4376472407, -62260744403, -9743075519, 737385857317, 854302763545, -7994327524259 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

FORMULA

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

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

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

MATHEMATICA

LinearRecurrence[{1, -12}, {1, 1}, 100] (* G. C. Greubel, Jan 30 2016 *)

PROG

(Sage) [lucas_number1(n, 1, 12) for n in xrange(1, 26)] # Zerinvary Lajos, Apr 22 2009

(PARI) Vec(1/(1-x(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012

CROSSREFS

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

Sequence in context: A088777 A041238 A089779 * A179520 A288406 A014874

Adjacent sequences:  A146081 A146082 A146083 * A146085 A146086 A146087

KEYWORD

sign,easy

AUTHOR

Philippe Deléham, Oct 27 2008

STATUS

approved

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Last modified February 17 20:06 EST 2018. Contains 299296 sequences. (Running on oeis4.)