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%I #29 Feb 19 2024 01:52:50
%S 1,24,531,11686,257097,5656140,124435087,2737571922,60226582293,
%T 1324984810456,29149665830043,641292648260958,14108438261741089,
%U 310385641758303972,6828484118682687399,150226650611019122794
%N a(1)=1, a(n) = 22*a(n-1) + n.
%H Vincenzo Librandi, <a href="/A014907/b014907.txt">Table of n, a(n) for n = 1..200</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (24, -45, 22).
%F a(1)=1, a(2)=24, a(3)=531, a(n) = 24*a(n-1) - 45*a(n-2) + 22*a(n-3). - _Vincenzo Librandi_, Oct 19 2012
%t LinearRecurrence[{24, -45, 22}, {1, 24, 531}, 20] (* _Vincenzo Librandi_, Oct 19 2012 *)
%o (Magma) I:=[1, 24, 531]; [n le 3 select I[n] else 24*Self(n-1) - 45*Self(n-2) + 22*Self(n-3): n in [1..20]]; // _Vincenzo Librandi_, Oct 19 2012
%o (Maxima)
%o a[1]:1$
%o a[2]:24$
%o a[3]:531$
%o a[n]:=24*a[n-1]-45*a[n-2]+22*a[n-3]$
%o A014907(n):=a[n]$
%o makelist(A014907(n),n,1,30); /* _Martin Ettl_, Nov 06 2012 */
%K nonn
%O 1,2
%A _N. J. A. Sloane_, _Olivier Gérard_
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