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%I #20 Sep 08 2022 08:44:41
%S 7776,371293,3200000,14348907,45435424,115856201,254803968,503284375,
%T 916132832,1564031349,2535525376,3939040643,5904900000,8587340257,
%U 12166529024,16850581551,22877577568,30517578125
%N a(n) = (7*n + 6)^5.
%H Vincenzo Librandi, <a href="/A017057/b017057.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (6,-15,20,-15,6,-1).
%F G.f.: (x^5 + 32762*x^4 + 562782*x^3 + 1088882*x^2 + 324637*x + 7776)/(x-1)^6. [_Colin Barker_, Sep 17 2012]
%t (7*Range[0,20]+6)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{7776,371293,3200000,14348907,45435424,115856201},20] (* _Harvey P. Dale_, Dec 20 2016 *)
%o (Magma) [(7*n+6)^5: n in [0..40]]; // _Vincenzo Librandi_, Jul 10 2011
%Y Cf. A017053 (7*n+6).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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