A017081 - OEIS

%I #14 Apr 12 2023 11:45:21

%S 1,59049,1419857,9765625,39135393,115856201,282475249,601692057,

%T 1160290625,2073071593,3486784401,5584059449,8587340257,12762815625,

%U 18424351793,25937424601,35723051649,48261724457

%N a(n) = (8*n + 1)^5.

%H Vincenzo Librandi, <a href="/A017081/b017081.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.: (1 + 59043*x + 1065578*x^2 + 2132198*x^3 + 658533*x^4 + 16807*x^5)/(x-1)^6. - _R. J. Mathar_, Jul 14 2016

%t (8*Range[0,20]+1)^5 (* or *) LinearRecurrence[{6,-15,20,-15,6,-1},{1,59049,1419857,9765625,39135393,115856201},20] (* _Harvey P. Dale_, Apr 12 2023 *)

%o (Magma) [(8*n+1)^5: n in [0..30]]; // _Vincenzo Librandi_, Jul 11 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_