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a(n) = (10*n + 1)^4.
1

%I #21 Sep 08 2022 08:44:42

%S 1,14641,194481,923521,2825761,6765201,13845841,25411681,43046721,

%T 68574961,104060401,151807041,214358881,294499921,395254161,519885601,

%U 671898241,855036081,1073283121,1330863361,1632240801,1982119441,2385443281

%N a(n) = (10*n + 1)^4.

%H Vincenzo Librandi, <a href="/A017284/b017284.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).

%F G.f.: (1 + 14636*x + 121286*x^2 + 97516*x^3 + 6561*x^4)/(1-x)^5. - _Bruno Berselli_, Jul 30 2011

%t (10*Range[0,30]+1)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1},{1,14641,194481,923521,2825761},30] (* _Harvey P. Dale_, Dec 13 2013 *)

%o (Magma) [(10*n+1)^4: n in [0..30]]; // _Vincenzo Librandi_, Jul 30 2011

%o (PARI) for(n=0, 22, print1((10*n+1)^4", ")); \\ _Bruno Berselli_, Jul 30 2011

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Bruno Berselli_, Jul 30 2011