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A107376 a(n) = 7*a(n-1)-7*a(n-3)-a(n-4). 0

%I

%S 0,1,1,2,7,41,272,1853,12677,86794,594315,4069613,27867056,190822393,

%T 1306675145,8947587010,61269485263,419548848433,2872902154816,

%U 19672481099861,134709256274733,922434929990986,6316464240083059

%N a(n) = 7*a(n-1)-7*a(n-3)-a(n-4).

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (7,0,-7,-1).

%F G.f.: x*(1-6*x-5*x^2)/(1-7*x+7*x^3+x^4). [Sep 28 2009]

%t m = 7 M = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {-1, -m, 0, m}} Expand[Det[M - x*IdentityMatrix[4]]] NSolve[Det[M - x*IdentityMatrix[4]] == 0, x] v[1] = {0, 1, 1, 2}; v[n_] := v[n] = M.v[n - 1]; digits = 50; a = Table[v[n][[1]], {n, 1, digits}]

%K nonn,easy

%O 0,4

%A _Roger L. Bagula_, May 24 2005

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

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Last modified September 20 13:56 EDT 2021. Contains 347586 sequences. (Running on oeis4.)