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a(n) = (10*n + 1)^5.
1

%I #18 Sep 08 2022 08:44:42

%S 1,161051,4084101,28629151,115856201,345025251,844596301,1804229351,

%T 3486784401,6240321451,10510100501,16850581551,25937424601,

%U 38579489651,55730836701,78502725751,108175616801,146211169851,194264244901,254194901951

%N a(n) = (10*n + 1)^5.

%H Vincenzo Librandi, <a href="/A017285/b017285.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 + 161045*x + 3117810*x^2 + 6540290*x^3 + 2121805*x^4 + 59049*x^5)/(1-x)^6. - _Bruno Berselli_, Jul 30 2011

%o (Magma) [(10*n+1)^5: n in [0..20]]; // _Vincenzo Librandi_, Jul 30 2011

%o (PARI) for(n=0, 19, print1((10*n+1)^5", ")); \\ _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