%I #11 Aug 25 2017 23:36:28
%S 1,11,13,25,39,65,105,171,277,449,727,1177,1905,3083,4989,8073,13063,
%T 21137,34201,55339,89541,144881,234423,379305,613729,993035,1606765,
%U 2599801,4206567,6806369,11012937
%N a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 11.
%H G. C. Greubel, <a href="/A022325/b022325.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2,0,-1).
%F From _R. J. Mathar_, Apr 07 2011: (Start)
%F G.f.: (1+9*x-9*x^2)/((1-x)*(1-x-x^2)).
%F a(n) = A022368(n) - 1. (End)
%F a(n) = 2*F(n+2) + 8*F(n) - 1, where F = A000045. - _G. C. Greubel_, Aug 25 2017
%t LinearRecurrence[{2,0,-1}, {1,11,13}, 50] (* _G. C. Greubel_, Aug 25 2017 *)
%o (PARI) x='x+O('x^50); Vec((1+9*x-9*x^2)/((1-x)*(1-x-x^2))) \\ _G. C. Greubel_, Aug 25 2017
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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