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.

A128074 a(n) = (n^3+n)*9^n.

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%I A128074 #27 Sep 08 2022 08:45:30
%S A128074 0,18,810,21870,446148,7676370,117979902,1674039150,22384294920,
%T A128074 285916320882,3521652245010,42113381995278,491427393476940,
%U A128074 5617523480607090,63094193590782438,697970937800860110
%N A128074 a(n) = (n^3+n)*9^n.
%H A128074 Vincenzo Librandi, <a href="/A128074/b128074.txt">Table of n, a(n) for n = 0..1000</a> (corrected by Ray Chandler, Jan 19 2019)
%H A128074 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (36,-486,2916,-6561).
%F A128074 a(1)=18, a(2)=810, a(3)=21870, a(4)=446148, a(n)=36*a(n-1)- 486*a(n-2)+ 2916*a(n-3)-6561*a(n-4). - _Harvey P. Dale_, Jun 16 2011
%F A128074 G.f.: 18*x*(1+9*x+81*x^2)/(1-9*x)^4. - _Harvey P. Dale_, Jun 16 2011
%t A128074 Table[(n^3+n)9^n,{n,20}] (* or *) LinearRecurrence[{36,-486,2916,-6561}, {18,810,21870,446148},20] (* _Harvey P. Dale_, Jun 16 2011 *)
%o A128074 (Magma) [(n^3 + n) * 9^n: n in [1..20]]; // _Vincenzo Librandi_, Feb 22 2012
%o A128074 (PARI) A128074(n)=(n^3+n)*9^n \\ _M. F. Hasler_, Oct 06 2014
%Y A128074 Cf. A128796; A128960; A128985; A129002.
%K A128074 nonn,easy
%O A128074 0,2
%A A128074 _Mohammad K. Azarian_, May 02 2007
%E A128074 Extended to a(0)=0 by _M. F. Hasler_, Oct 06 2014