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A276477 a(n) = a(n-2) + a(n-3) for n >= 3, with a(0) = a(1) = 2, a(2) = 1.

%I A276477 #29 Jul 04 2023 12:28:06
%S A276477 2,2,1,4,3,5,7,8,12,15,20,27,35,47,62,82,109,144,191,253,335,444,588,
%T A276477 779,1032,1367,1811,2399,3178,4210,5577,7388,9787,12965,17175,22752,
%U A276477 30140,39927,52892,70067,92819,122959,162886,215778,285845,378664,501623,664509
%N A276477 a(n) = a(n-2) + a(n-3) for n >= 3, with a(0) = a(1) = 2, a(2) = 1.
%C A276477  Padovan-like sequence linked to Perrin sequence.
%H A276477 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1, 1).
%F A276477 a(n) = A001608(n) + A084338(n-7).
%F A276477 G.f.: (x^2-2*x-2)/(x^3+x^2-1).
%t A276477 RecurrenceTable[{a[n] == a[n - 2] + a[n - 3], a[1] == a[2] == 2, a[3] == 1}, a, {n, 42}]
%t A276477 CoefficientList[Series[(x^2 - 2 x - 2)/(x^3 + x^2 - 1), {x, 0, 41}], x] (* _Michael De Vlieger_, Sep 06 2016 *)
%t A276477 LinearRecurrence[{0, 1, 1}, {2, 2, 1}, 60] (* _Vincenzo Librandi_, Sep 10 2016 *)
%o A276477 (PARI) x='x+O('x^99); Vec((x^2-2*x-2)/(x^3+x^2-1)) \\ _Altug Alkan_, Sep 10 2016
%o A276477 (Magma) I:=[2,2,1]; [n le 3 select I[n] else Self(n-2)+Self(n-3): n in [1..50]]; // _Vincenzo Librandi_, Sep 10 2016
%Y A276477 Cf. A001608, A084338.
%K A276477 nonn,easy
%O A276477 0,1
%A A276477 _Nicolas Bègue_, Sep 04 2016