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Expansion of g.f. x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4).
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%I #22 Sep 01 2024 15:18:55

%S 0,20,57,434,1717,10553,47573,265684,1276818,6811097,33775052,

%T 176219759,887333535,4580070573,23235380380,119306276376,607466542861,

%U 3111219668378,15869382126877,81176527531045,414414451168349

%N Expansion of g.f. x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4).

%F a(n) = a(n-1) + 19*a(n-2) + 10*a(n-3) + a(n-4) for n>=4.

%F O.g.f.: x*(-20-37*x+3*x^2)/(-1+x+19*x^2+10*x^3+x^4). - _R. J. Mathar_, Dec 05 2007

%p a[0]:=0:a[1]:=20:a[2]:=57:a[3]:=434: for n from 4 to 22 do a[n]:=a[n-1]+19*a[n-2]+10*a[n-3]+a[n-4] od: seq(a[n],n=0..22);

%K nonn,easy

%O 0,2

%A _Roger L. Bagula_, Mar 31 2005

%E Edited by _N. J. A. Sloane_, May 20 2006

%E New name using g.f. from _Joerg Arndt_, Sep 01 2024