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A168412 a(n) = n^5*(n^6 + 1)/2. 1

%I

%S 0,1,1040,88695,2097664,24415625,181402416,988671775,4294983680,

%T 15690559329,50000050000,142655915831,371504309760,896080382665,

%U 2024782853744,4324878309375,8796093546496,17135948863745

%N a(n) = n^5*(n^6 + 1)/2.

%H Vincenzo Librandi, <a href="/A168412/b168412.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: x*(1 + 1028*x + 76281*x^2 + 1101744*x^3 + 4869222*x^4 + 7861848*x^5 + 4869222*x^6 + 1101744*x^7 + 76281*x^8 + 1028*x^9 + x^10)/(1-x)^12. - _Vincenzo Librandi_, Jul 23 2016

%t Table[n^5*(n^6 + 1)/2, {n,0,25}] (* _G. C. Greubel_, Jul 22 2016 *)

%t CoefficientList[Series[x (1 + 1028 x + 76281 x^2 + 1101744 x^3 + 4869222 x^4 + 7861848 x^5 + 4869222 x^6 + 1101744 x^7 + 76281 x^8 + 1028 x^9 + x^10)/(1 - x)^12, {x, 0, 30}], x] (* _Vincenzo Librandi_, Jul 23 2016 *)

%o (MAGMA) [n^5*(n^6+1)/2: n in [0..30]]; // _Vincenzo Librandi_, Aug 29 2011

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, Dec 11 2009

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Last modified May 14 08:44 EDT 2021. Contains 343879 sequences. (Running on oeis4.)