A133668 - OEIS

%I #17 Jan 02 2024 08:56:16

%S 1,6,-30,-246,834,9690,-20334,-369174,362850,13653114,590514,

%T -490921590,-512180094,17160997146,35599480530,-582196416726,

%U -1863777715806,19095293286330,86191291055346,-601239267252534,-3704125745244990,17940487875846234

%N a(n) = a(n-1) - 36*a(n-2), a(0)=1, a(1)=6.

%H Matthew House, <a href="/A133668/b133668.txt">Table of n, a(n) for n = 0..1277</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1,-36).

%F G.f.:(1+5*x)/(1-x+36*x^2).

%F a(n) = Sum_{k=0..n} A133607(n,k)*6^k. - _Philippe Deléham_, Dec 30 2007

%t CoefficientList[Series[(1+5x)/(1-x+36x^2),{x,0,40}],x] (* or *) LinearRecurrence[{1,-36},{1,6},40] (* _Harvey P. Dale_, Dec 28 2022 *)

%o (PARI) a(n)=([0,1; -36,1]^n*[1;6])[1,1] \\ _Charles R Greathouse IV_, Feb 15 2017

%K easy,sign

%O 0,2

%A _Philippe Deléham_, Dec 28 2007

%E a(18) corrected by _Matthew House_, Feb 15 2017