%I #35 Dec 30 2023 23:41:54
%S 0,1,10,107,1140,12149,129470,1379743,14703720,156695401,1669880050,
%T 17795668307,189645843420,2021028112349,21537802027430,
%U 229525217060743,2446016784799440,26066844367419601,277790561167792090,2960373522249858107,31548269150673125700
%N Expansion of x/(1 - 10*x - 7*x^2).
%H Vincenzo Librandi, <a href="/A015589/b015589.txt">Table of n, a(n) for n = 0..900</a>
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10,7).
%F a(n) = 10*a(n-1) + 7*a(n-2).
%t Join[{a=0,b=1},Table[c=10*b+7*a;a=b;b=c,{n,60}]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 27 2011 *)
%t CoefficientList[Series[x/(1-10x-7x^2),{x,0,30}],x] (* or *) LinearRecurrence[ {10,7},{0,1},31] (* _Harvey P. Dale_, Nov 26 2011 *)
%o (Sage) [lucas_number1(n,10,-7) for n in range(0, 18)] # _Zerinvary Lajos_, Apr 26 2009
%o (Magma) [n le 2 select n-1 else 10*Self(n-1) + 7*Self(n-2): n in [1..30]]; // _Vincenzo Librandi_, Nov 15 2012
%o (PARI) x='x+O('x^30); concat([0], Vec(x/(1-10*x-7*x^2))) \\ _G. C. Greubel_, Jan 06 2018
%Y Cf. A015579, A099371.
%K nonn,easy
%O 0,3
%A _Olivier GĂ©rard_
%E Extended by _T. D. Noe_, May 23 2011
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