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%I #15 Sep 08 2022 08:44:46
%S 3,12,16,29,46,76,123,200,324,525,850,1376,2227,3604,5832,9437,15270,
%T 24708,39979,64688,104668,169357,274026,443384,717411,1160796,1878208,
%U 3039005,4917214,7956220,12873435,20829656,33703092,54532749,88235842,142768592,231004435,373773028,604777464
%N a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=12.
%H G. C. Greubel, <a href="/A022411/b022411.txt">Table of n, a(n) for n = 0..4500</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_, Mar 11 2011: (Start)
%F a(n+1) - a(n) = A022132(n-1).
%F G.f.: ( 3+6*x-8*x^2 ) / ( (x-1)*(x^2+x-1) ). (End)
%t LinearRecurrence[{2,0,-1},{3,12,16},40] (* _Harvey P. Dale_, Jan 26 2014 *)
%o (PARI) x='x+O('x^30); Vec((3+6*x-8*x^2)/((x-1)*(x^2+x-1))) \\ _G. C. Greubel_, Feb 28 2018
%o (Magma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!((3+6*x-8*x^2)/((x-1)*(x^2+x-1)))); // _G. C. Greubel_, Feb 28 2018
%K nonn
%O 0,1
%A _N. J. A. Sloane_
%E Terms a(31) onward added by _G. C. Greubel_, Feb 28 2018
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