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A017132 a(n) = (8*n + 5)^8. 1

%I #16 Sep 17 2023 12:07:50

%S 390625,815730721,37822859361,500246412961,3512479453921,

%T 16815125390625,62259690411361,191707312997281,513798374428641,

%U 1235736291547681,2724905250390625,5595818096650401,10828567056280801

%N a(n) = (8*n + 5)^8.

%H Vincenzo Librandi, <a href="/A017132/b017132.txt">Table of n, a(n) for n = 0..10000</a>

%H <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 G.f.: ( -390625 - 812215096*x - 30495345372*x^2 - 189174172168*x^3 - 303412512454*x^4 - 137293837704*x^5 - 15054569308*x^6 - 214299832*x^7 - 6561*x^8 ) / ( (x-1)^9 ). - _R. J. Mathar_, May 08 2015

%t (8*Range[0,20]+5)^8 (* or *) LinearRecurrence[{9,-36,84,-126,126,-84,36,-9,1},{390625,815730721,37822859361,500246412961,3512479453921,16815125390625,62259690411361,191707312997281,513798374428641},20] (* _Harvey P. Dale_, Sep 17 2023 *)

%o (Magma) [(8*n+5)^8: n in [0..20] ]; // _Vincenzo Librandi_, Jul 21 2011

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)