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 A170792 a(n) = n^9*(n^10 + 1)/2. 1

%I #10 Sep 08 2022 08:45:49

%S 0,1,262400,581140575,137439084544,9536744140625,304679875044096,

%T 5699447612863375,72057594105036800,675425859030206289,

%U 5000000000500000000,30579545225386246991,159739999687891353600

%N a(n) = n^9*(n^10 + 1)/2.

%H Vincenzo Librandi, <a href="/A170792/b170792.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (20,-190,1140,-4845,15504,-38760, 77520,-125970,167960,-184756,167960,-125970,77520,-38760,15504,-4845, 1140,-190,20,-1).

%F G.f.: (x + 262380*x^2 + 575892765*x^3 + 125866127904*x^4 + 6898080027840*x^5 + 139397189351952*x^6 + 1263962500195080*x^7 + 5742822317522400*x^8 + 13931140285365018*x^9 + 18653856574925320*x^10 + 13931140285365018*x^11 + 5742822317522400*x^12 + 1263962500195080*x^13 + 139397189351952*x^14 + 6898080027840*x^15 + 125866127904*x^16 + 575892765*x^17 + 262380*x^18 + x^19)/(1-x)^20. - _G. C. Greubel_, Dec 06 2017

%t Table[n^9*(n^10+1)/2, {n,0,30}] (* _G. C. Greubel_, Dec 06 2017 *)

%o (Magma)[n^9*(n^10+1)/2: n in [0..20]]; // _Vincenzo Librandi_, Aug 26 2011

%o (PARI) for(n=0,30, print1(n^9*(n^10+1)/2, ", ")) \\ _G. C. Greubel_, Dec 06 2017

%K nonn,easy

%O 0,3

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

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Last modified July 12 16:40 EDT 2024. Contains 374251 sequences. (Running on oeis4.)