cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A017339 a(n) = (10*n + 5)^11.

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%I A017339 #22 Apr 18 2023 05:02:18
%S A017339 48828125,8649755859375,2384185791015625,96549157373046875,
%T A017339 1532278301220703125,13931233916552734375,87507831740087890625,
%U A017339 422351360321044921875,1673432436896142578125,5688000922764599609375,17103393581163134765625,46523913960640966796875,116415321826934814453125
%N A017339 a(n) = (10*n + 5)^11.
%H A017339 Vincenzo Librandi, <a href="/A017339/b017339.txt">Table of n, a(n) for n = 0..10000</a>
%H A017339 <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 A017339 G.f.: 48828125*(x+1)*(x^10 + 177134*x^9 + 46525293*x^8 + 1356555432*x^7 + 9480267666*x^6 + 19107752148*x^5 + 9480267666*x^4 + 1356555432*x^3 + 46525293*x^2 + 177134*x + 1)/(x-1)^12. - _Colin Barker_, Nov 14 2012
%F A017339 From _Amiram Eldar_, Apr 18 2023: (Start)
%F A017339 a(n) = A017329(n)^11.
%F A017339 a(n) = 5^11 * A016763(n).
%F A017339 Sum_{n>=0} 1/a(n) = 2047*zeta(11)/100000000000.
%F A017339 Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/725760000000000000. (End)
%t A017339 Table[(10*n + 5)^11, {n, 0, 15}] (* _Amiram Eldar_, Apr 18 2023 *)
%o A017339 (Magma) [(10*n+5)^11: n in [0..10]]; // _Vincenzo Librandi_, Aug 02 2011
%Y A017339 Cf. A013669, A016763, A017329.
%K A017339 nonn,easy
%O A017339 0,1
%A A017339 _N. J. A. Sloane_