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.

A103460 a(n) = 9^n + 1 - 0^n.

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%I A103460 #21 Jun 29 2023 18:54:53
%S A103460 1,10,82,730,6562,59050,531442,4782970,43046722,387420490,3486784402,
%T A103460 31381059610,282429536482,2541865828330,22876792454962,
%U A103460 205891132094650,1853020188851842,16677181699666570,150094635296999122
%N A103460 a(n) = 9^n + 1 - 0^n.
%C A103460 a(n)^3 is palindromic in base 9 (1_9, 1331_9, 1030301_9, 1003003001_9, ...).
%H A103460 G. C. Greubel, <a href="/A103460/b103460.txt">Table of n, a(n) for n = 0..1000</a>
%H A103460 Patrick De Geest, <a href="http://www.worldofnumbers.com/index.html">World!Of Numbers</a>
%H A103460 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (10, -9).
%F A103460 G.f.: (1-9*x^2)/((1-x)*(1-9*x)).
%F A103460 a(n) = Sum_{k=0..n} binomial(n, k)*0^(k*(n-k))*9^k.
%F A103460 a(n) = A062396(n), n > 0. - _R. J. Mathar_, Aug 28 2008
%F A103460 a(n) = 9*a(n-1) - 8, with a(1)=10. - _Vincenzo Librandi_, Dec 29 2010
%F A103460 E.g.f.: -1 + exp(x) + exp(9*x). - _G. C. Greubel_, Jun 26 2021
%t A103460 Table[9^n + 1 - Boole[n==0], {n,0,40}] (* _G. C. Greubel_, Jun 26 2021 *)
%o A103460 (Magma) [1] cat [9^n +1: n in [1..40]]; // _G. C. Greubel_, Jun 26 2021
%o A103460 (Sage) [1]+[9^n +1 for n in (1..40)] # _G. C. Greubel_, Jun 26 2021
%Y A103460 Cf. A046233, A062396.
%K A103460 easy,nonn
%O A103460 0,2
%A A103460 _Paul Barry_, Feb 07 2005