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

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

Offset: 0

Author

Philippe Deléham, Oct 27 2008

Keywords

• sign
• easy

Comments

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

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (1, -12).

Crossrefs

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

Programs

Mathematica

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

PARI

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

Sage

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

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).