A168119 - OEIS

%I #24 Sep 08 2022 08:45:48

%S 0,1,1025,88575,2097154,24414065,181398531,988663375,4294967300,

%T 15690529809,50000000005,142655835311,371504185350,896080197025,

%U 2024782584839,4324877929695,8796093022216,17135948153825

%N n*(n^10+1)/2.

%H Vincenzo Librandi, <a href="/A168119/b168119.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

%F G.f.: x*(1 + 1013*x + 76341*x^2 + 1101684*x^3 + 4869162*x^4 + 7861998*x^5 + 4869162*x^6 + 1101684*x^7 + 76341*x^8 + 1013*x^9 + x^10)/(1 - x)^12. - _Vincenzo Librandi_, Dec 10 2014

%t Table[n (n^10 + 1)/2, {n, 0, 20}] (* _Harvey P. Dale_, Sep 14 2011 *)

%t CoefficientList[Series[x (1 + 1013 x + 76341 x^2 + 1101684 x^3 + 4869162 x^4 + 7861998 x^5 + 4869162 x^6 + 1101684 x^7 + 76341 x^8 + 1013 x^9 + x^10)/(1 - x)^12, {x, 0, 20}], x] (* _Vincenzo Librandi_, Dec 10 2014 *)

%o (Magma) [n*(n^10+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Sep 15 2011

%Y Cf. A170793.

%K nonn,easy

%O 0,3

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