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.

A017120 a(n) = (8*n + 4)^8.

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%I A017120 #18 Apr 25 2023 05:27:51
%S A017120 65536,429981696,25600000000,377801998336,2821109907456,
%T A017120 14048223625216,53459728531456,167961600000000,457163239653376,
%U A017120 1113034787454976,2478758911082496,5132188731375616,10000000000000000,18509302102818816,32784148919812096,55895067029733376
%N A017120 a(n) = (8*n + 4)^8.
%H A017120 Vincenzo Librandi, <a href="/A017120/b017120.txt">Table of n, a(n) for n = 0..10000</a>
%H A017120 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (9,-36,84,-126,126,-84,36,-9,1).
%F A017120 G.f.: -65536*(1 + 6552*x + 331612*x^2 + 2485288*x^3 + 4675014*x^4 + 2485288*x^5 + 331612*x^6 + 6552*x^7 + x^8)/(x-1)^9. - _R. J. Mathar_, May 08 2015
%F A017120 From _Amiram Eldar_, Apr 25 2023: (Start)
%F A017120 a(n) = A017113(n)^8.
%F A017120 a(n) = 2^8*A016832(n) = 2^16*A016760(n).
%F A017120 Sum_{n>=0} 1/a(n) = 17*Pi^8/10569646080. (End)
%t A017120 Table[(8*n + 4)^8, {n, 0, 20}] (* _Amiram Eldar_, Apr 25 2023 *)
%o A017120 (Magma) [(8*n+4)^8: n in [0..15] ]; // _Vincenzo Librandi_, Jul 21 2011
%Y A017120 Cf. A016760, A016832, A017113.
%K A017120 nonn,easy
%O A017120 0,1
%A A017120 _N. J. A. Sloane_