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%I #16 Sep 08 2022 08:44:41
%S 1,7776,161051,1048576,4084101,11881376,28629151,60466176,115856201,
%T 205962976,345025251,550731776,844596301,1252332576,1804229351,
%U 2535525376,3486784401,4704270176,6240321451
%N (5n+1)^5.
%H Vincenzo Librandi, <a href="/A016865/b016865.txt">Table of n, a(n) for n = 0..1000</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.: (1024*x^5+52905*x^4+198890*x^3+114410*x^2+7770*x+1)/(x-1)^6. [_Colin Barker_, Sep 19 2012]
%t CoefficientList[Series[(1024 x^5 + 52905 x^4 + 198890 x^3 + 114410 x^2 + 7770 x + 1)/(x - 1)^6, {x, 0, 40}], x] (* _Vincenzo Librandi_, Oct 15 2013 *)
%o (Magma) [(5*n+1)^5: n in [0..20]]; // _Vincenzo Librandi_, Oct 15 2013
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_.