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A107298 a(n) = 3*a(n-1)-a(n-2)-2*a(n-3)+a(n-4), n>5. 0

%I

%S 3,2,5,10,25,56,128,288,649,1459,3280,7371,16564,37220,83634,187925,

%T 422265,948822,2131985,4790528,10764220,24186984,54347661,122118087,

%U 274396852,616564131

%N a(n) = 3*a(n-1)-a(n-2)-2*a(n-3)+a(n-4), n>5.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (3, -1, -2, 1).

%F G.f.: (-2*x^2-3*x^3+x^5-3+7*x-x^4)/( (x-1)*(x^3-x^2-2*x+1)) . [Sep 28 2009]

%t NSolve[x^3 - 2*x^2 - x + 1 == 0, x] b1 = -0.8019377358048383 b2 = 0.5549581320873712 b3 = 2.2469796037174667 digits = 25 a = Table[2*(b3^n + b1^n + b2^n)/ (b3 + b2 + b1), {n, 0, digits}] Floor[a]

%t LinearRecurrence[{3,-1,-2,1},{3,2,5,10,25,56},30] (* _Harvey P. Dale_, Jun 07 2015 *)

%K nonn,easy

%O 0,1

%A _Roger L. Bagula_, May 20 2005

%E Definition replaced by recurrence by the Associate Editors of the OEIS, Sep 28 2009

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Last modified May 16 05:55 EDT 2021. Contains 343939 sequences. (Running on oeis4.)