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A165758 a(n) = (12-7*6^n)/5. 2

%I #15 Apr 08 2016 03:17:34

%S 1,-6,-48,-300,-1812,-10884,-65316,-391908,-2351460,-14108772,

%T -84652644,-507915876,-3047495268,-18284971620,-109709829732,

%U -658258978404,-3949553870436,-23697323222628,-142183939335780,-853103636014692

%N a(n) = (12-7*6^n)/5.

%H G. C. Greubel, <a href="/A165758/b165758.txt">Table of n, a(n) for n = 0..500</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7, -6).

%F a(n) = 6*a(n-1) - 12, a(0)=1.

%F a(n) = 7*a(n-1)-6*a(n-2), a(0)=1, a(1)= -6.

%F G.f.: (1-13x)/(1-7x+6x^2).

%F a(n) = Sum_{0<=k<=n} A112555(n,k)*(-7)^(n-k).

%F a(n) = (-6)*A061801(n-1).

%F E.g.f.: (1/5)*(12*exp(x) - 7*exp(6*x)). - _G. C. Greubel_, Apr 07 2016

%t (12-7*6^Range[0,20])/5 (* or *) LinearRecurrence[{7,-6},{1,-6},20] (* _Harvey P. Dale_, Apr 30 2012 *)

%K easy,sign

%O 0,2

%A _Philippe Deléham_, Sep 26 2009

%E Corrected by _D. S. McNeil_, Aug 20 2010

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Last modified April 19 12:14 EDT 2024. Contains 371792 sequences. (Running on oeis4.)