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.

A064747 a(n) = n*9^n + 1.

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%I A064747 #18 Sep 10 2024 11:03:55
%S A064747 1,10,163,2188,26245,295246,3188647,33480784,344373769,3486784402,
%T A064747 34867844011,345191655700,3389154437773,33044255768278,
%U A064747 320275094369455,3088366981419736,29648323021629457,283512088894331674,2701703435345984179,25666182635786849692,243153309181138576021
%N A064747 a(n) = n*9^n + 1.
%H A064747 Vincenzo Librandi, <a href="/A064747/b064747.txt">Table of n, a(n) for n = 0..1000</a>
%H A064747 Paul Leyland, <a href="http://www.leyland.vispa.com/numth/factorization/cullen_woodall/cw.htm">Factors of Cullen and Woodall numbers</a>.
%H A064747 Paul Leyland, <a href="http://www.leyland.vispa.com/numth/factorization/cullen_woodall/gcw.htm">Generalized Cullen and Woodall numbers</a>.
%H A064747 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (19,-99,81).
%F A064747 a(n) = 19*a(n-1) - 99*a(n-2) + 81*a(n-3); a(0)=1, a(1)=10, a(2)=163. - _Harvey P. Dale_, Jan 16 2016
%F A064747 From _Elmo R. Oliveira_, Sep 09 2024: (Start)
%F A064747 G.f.: -(72*x^2 - 9*x + 1)/((x - 1)*(9*x - 1)^2).
%F A064747 E.g.f.: exp(x)*(9*x*exp(8*x) + 1).
%F A064747 a(n) = A158749(n) + 1. (End)
%t A064747 Table[n*9^n+1,{n,0,20}] (* or *) LinearRecurrence[{19,-99,81},{1,10,163},20]
%o A064747 (Magma) [ n*9^n+1: n in [0..20]]; // _Vincenzo Librandi_, Sep 16 2011
%Y A064747 Cf. A158749.
%K A064747 nonn,easy
%O A064747 0,2
%A A064747 _N. J. A. Sloane_, Oct 19 2001