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.

A017145 a(n) = (8*n+6)^9.

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%I A017145 #18 Apr 26 2023 06:29:20
%S A017145 10077696,20661046784,1207269217792,19683000000000,165216101262848,
%T A017145 922190162669056,3904305912313344,13537086546263552,40353607000000000,
%U A017145 106868920913284608,257327417311663616,572994802228616704,1195092568622310912,2357947691000000000,4435453859151328768
%N A017145 a(n) = (8*n+6)^9.
%H A017145 Vincenzo Librandi, <a href="/A017145/b017145.txt">Table of n, a(n) for n = 0..10000</a>
%H A017145 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10,-45,120,-210,252,-210,120,-45,10,-1).
%F A017145 a(n) = 512*A016845(n). - _R. J. Mathar_, Aug 26 2015
%F A017145 From _Amiram Eldar_, Apr 26 2023: (Start)
%F A017145 a(n) = A017137(n)^9.
%F A017145 Sum_{n>=0} 1/a(n) = 511*zeta(9)/524288 - 277*Pi^9/8455716864. (End)
%t A017145 (8*Range[0,20]+6)^9 (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{10077696,20661046784,1207269217792,19683000000000,165216101262848,922190162669056,3904305912313344,13537086546263552,40353607000000000,106868920913284608},20] (* _Harvey P. Dale_, Jun 04 2016 *)
%o A017145 (Magma) [(8*n+6)^9: n in [0..20]]; // _Vincenzo Librandi_, Jul 21 2011
%Y A017145 Cf. A013667, A016845, A017137.
%K A017145 nonn,easy
%O A017145 0,1
%A A017145 _N. J. A. Sloane_