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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (7, -6).

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 A049316 A024075

Adjacent sequences:  A165755 A165756 A165757 * A165759 A165760 A165761

KEYWORD

easy,sign

AUTHOR

Philippe Deléham, Sep 26 2009

EXTENSIONS

Corrected by D. S. McNeil, Aug 20 2010

STATUS

approved

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Last modified November 22 15:27 EST 2017. Contains 295089 sequences.