|
%I #14 Jan 03 2024 08:45:58
%S 1,-1,3,-13,59,-269,1227,-5597,25531,-116461,531243,-2423293,11053979,
%T -50423309,230008587,-1049196317,4785964411,-21831429421,99585218283,
%U -454263232573,2072145726299,-9452202166349,43116719379147
%N a(n) = -5*a(n-1)-2*a(n-2), n>1 ; a(0)=1, a(1)=-1 .
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (-5,-2).
%F G.f.: (1+4*x)/(1+5*x+2*x^2).
%F a(n) = Sum_{k, 0<=k<n} A147703(n,k)*(-2)^(n-k).
%F a(n) = (-1)^n*A052984(n-1), n>=1 ; a(0)=1.
%t LinearRecurrence[{-5,-2},{1,-1},30] (* _Harvey P. Dale_, Jun 18 2015 *)
%K sign
%O 0,3
%A _Philippe Deléham_, Dec 09 2008
|
