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CoefficientList[Series[-1/(x^5 + x^3 + x^2 - 1), {x, 0, 44}], x] (* Michael De Vlieger, Mar 02 2017 *)
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For n>=2, a(n) is number of compositions of n -2 with elements from the set {1,2,3} such that no two odd numbers appear consecutively. - Armend Shabani, Mar 01 2017
Starting from the third term, this sequence presents For n>=2, a(n) is number of compositions of n with elements from the set {1,2,3} such that no two odd numbers appear consecutively. - Armend Shabani, Mar 01 2017
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<a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,0,1).
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