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 A170764 #23 Sep 08 2022 08:45:49
%S A170764 1,45,1980,87120,3833280,168664320,7421230080,326534123520,
%T A170764 14367501434880,632170063134720,27815482777927680,1223881242228817920,
%U A170764 53850774658067988480,2369434084954991493120,104255099738019625697280,4587224388472863530680320
%N A170764 Expansion of g.f.: (1+x)/(1-44*x).
%H A170764 Vincenzo Librandi, <a href="/A170764/b170764.txt">Table of n, a(n) for n = 0..600</a>
%H A170764 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (44).
%F A170764 a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*45^k. - _Philippe Deléham_, Dec 04 2009
%F A170764 a(0) = 1; for n>0, a(n) = 45*44^(n-1). - _Vincenzo Librandi_, Dec 05 2009
%F A170764 E.g.f.: (45*exp(44*x) - 1)/44. - _G. C. Greubel_, Oct 10 2019
%p A170764 k:=45; seq(`if`(n=0, 1, k*(k-1)^(n-1)), n = 0..25); # _G. C. Greubel_, Oct 10 2019
%t A170764 CoefficientList[Series[(1+x)/(1-44*x), {x, 0, 30}], x] (* _Vincenzo Librandi_, Dec 09 2012 *)
%t A170764 With[{k = 45}, Table[If[n==0, 1, k*(k-1)^(n-1)], {n, 0, 25}]] (* _G. C. Greubel_, Oct 10 2019 *)
%t A170764 Join[{1},NestList[44#&,45,20]] (* _Harvey P. Dale_, Aug 22 2021 *)
%o A170764 (PARI) vector(26, n, k=45; if(n==1, 1, k*(k-1)^(n-2))) \\ _G. C. Greubel_, Oct 10 2019
%o A170764 (Magma) k:=45; [1] cat [k*(k-1)^(n-1): n in [1..25]]; // _G. C. Greubel_, Oct 10 2019
%o A170764 (Sage) k=45; [1]+[k*(k-1)^(n-1) for n in (1..25)] # _G. C. Greubel_, Oct 10 2019
%o A170764 (GAP) k:=45;; Concatenation([1], List([1..25], n-> k*(k-1)^(n-1) )); # _G. C. Greubel_, Oct 10 2019
%Y A170764 Cf. A003945.
%K A170764 nonn,easy
%O A170764 0,2
%A A170764 _N. J. A. Sloane_, Dec 04 2009