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A165758
a(n) = (12-7*6^n)/5.
2
1, -6, -48, -300, -1812, -10884, -65316, -391908, -2351460, -14108772, -84652644, -507915876, -3047495268, -18284971620, -109709829732, -658258978404, -3949553870436, -23697323222628, -142183939335780, -853103636014692
OFFSET
0,2
FORMULA
a(n) = 6*a(n-1) - 12, a(0)=1.
a(n) = 7*a(n-1)-6*a(n-2), a(0)=1, a(1)= -6.
G.f.: (1-13x)/(1-7x+6x^2).
a(n) = Sum_{0<=k<=n} A112555(n,k)*(-7)^(n-k).
a(n) = (-6)*A061801(n-1).
E.g.f.: (1/5)*(12*exp(x) - 7*exp(6*x)). - G. C. Greubel, Apr 07 2016
MATHEMATICA
(12-7*6^Range[0, 20])/5 (* or *) LinearRecurrence[{7, -6}, {1, -6}, 20] (* Harvey P. Dale, Apr 30 2012 *)
CROSSREFS
Sequence in context: A100740 A043020 A073994 * A166152 A300582 A366658
KEYWORD
easy,sign
AUTHOR
Philippe Deléham, Sep 26 2009
EXTENSIONS
Corrected by D. S. McNeil, Aug 20 2010
STATUS
approved