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.
%I A016163 #22 Nov 09 2024 04:14:57
%S A016163 1,14,151,1484,13981,128954,1176211,10664024,96366841,869254694,
%T A016163 7833057871,70546348964,635161281301,5717672234834,51465153629131,
%U A016163 463216900240304,4169104690053361,37522705149933374,337708161046665991
%N A016163 Expansion of 1/((1-5*x)*(1-9*x)).
%H A016163 G. C. Greubel, <a href="/A016163/b016163.txt">Table of n, a(n) for n = 0..1000</a>
%H A016163 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-45).
%F A016163 a(n) = ((7+sqrt4)^n - (7-sqrt4)^n)/4. Offset 1. a(3)=151. - Al Hakanson (hawkuu(AT)gmail.com), Dec 31 2008
%F A016163 a(n) = 14*a(n-1) - 45*a(n-2). - _Philippe Deléham_, Jan 01 2009
%F A016163 a(0)=1, a(n) = 9*a(n-1) + 5^n. - _Vincenzo Librandi_, Feb 09 2011
%F A016163 From _G. C. Greubel_, Nov 09 2024: (Start)
%F A016163 a(n) = (9^(n+1) - 5^(n+1))/4.
%F A016163 E.g.f.: (1/4)*(9*exp(9*x) - 5*exp(5*x)). (End)
%t A016163 Table[(9^(n+1) - 5^(n+1))/4, {n,0,30}] (* _Vladimir Joseph Stephan Orlovsky_, Feb 01 2011 *)
%o A016163 (Magma) [(9^(n+1) - 5^(n+1))/4: n in [0..30]]; // _G. C. Greubel_, Nov 09 2024
%o A016163 (SageMath)
%o A016163 def A016163(n): return (9^(n+1) - 5^(n+1))/4
%o A016163 [A016163(n) for n in range(31)] # _G. C. Greubel_, Nov 09 2024
%Y A016163 Cf. A016142, A016161.
%K A016163 nonn
%O A016163 0,2
%A A016163 _N. J. A. Sloane_