cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

This page as a plain text file.
%I A165758 #15 Apr 08 2016 03:17:34
%S A165758 1,-6,-48,-300,-1812,-10884,-65316,-391908,-2351460,-14108772,
%T A165758 -84652644,-507915876,-3047495268,-18284971620,-109709829732,
%U A165758 -658258978404,-3949553870436,-23697323222628,-142183939335780,-853103636014692
%N A165758 a(n) = (12-7*6^n)/5.
%H A165758 G. C. Greubel, <a href="/A165758/b165758.txt">Table of n, a(n) for n = 0..500</a>
%H A165758 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (7, -6).
%F A165758 a(n) = 6*a(n-1) - 12, a(0)=1.
%F A165758 a(n) = 7*a(n-1)-6*a(n-2), a(0)=1, a(1)= -6.
%F A165758 G.f.: (1-13x)/(1-7x+6x^2).
%F A165758 a(n) = Sum_{0<=k<=n} A112555(n,k)*(-7)^(n-k).
%F A165758 a(n) = (-6)*A061801(n-1).
%F A165758 E.g.f.: (1/5)*(12*exp(x) - 7*exp(6*x)). - _G. C. Greubel_, Apr 07 2016
%t A165758 (12-7*6^Range[0,20])/5 (* or *) LinearRecurrence[{7,-6},{1,-6},20] (* _Harvey P. Dale_, Apr 30 2012 *)
%K A165758 easy,sign
%O A165758 0,2
%A A165758 _Philippe Deléham_, Sep 26 2009
%E A165758 Corrected by _D. S. McNeil_, Aug 20 2010