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 A170763 #27 Sep 08 2022 08:45:49
%S A170763 1,44,1892,81356,3498308,150427244,6468371492,278139974156,
%T A170763 11960018888708,514280812214444,22114074925221092,950905221784506956,
%U A170763 40888924536733799108,1758223755079553361644,75603621468420794550692,3250955723142094165679756
%N A170763 Expansion of g.f.: (1+x)/(1-43*x).
%H A170763 Vincenzo Librandi, <a href="/A170763/b170763.txt">Table of n, a(n) for n = 0..600</a>
%H A170763 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (43).
%F A170763 a(n) = Sum_{k=0..n} A097805(n,k)*(-1)^(n-k)*44^k. - _Philippe Deléham_, Dec 04 2009
%F A170763 a(0) = 1; for n>0, a(n) = 44*43^(n-1). - _Vincenzo Librandi_, Dec 05 2009
%F A170763 a(0)=1, a(1)=44, a(n) = 43*a(n-1). - _Vincenzo Librandi_, Dec 11 2012
%F A170763 E.g.f.: (44*exp(43*x) - 1)/43. - _G. C. Greubel_, Oct 10 2019
%p A170763 k:=44; seq(`if`(n=0, 1, k*(k-1)^(n-1)), n = 0..25); # _G. C. Greubel_, Oct 10 2019
%t A170763 CoefficientList[Series[(1+x)/(1-43*x), {x, 0, 20}], x] (* _Vincenzo Librandi_, Dec 09 2012 *)
%t A170763 Join[{1},NestList[43#&,44,20]] (* _Harvey P. Dale_, Jan 15 2013 *)
%t A170763 With[{k = 44}, Table[If[n==0, 1, k*(k-1)^(n-1)], {n, 0, 25}]] (* _G. C. Greubel_, Oct 10 2019 *)
%o A170763 (Magma) [1] cat [44*43^(n-1): n in [1..20]]; // _Vincenzo Librandi_, Dec 11 2012
%o A170763 (PARI) a(n)=44*43^n\43 \\ _Charles R Greathouse IV_, Jul 01 2013
%o A170763 (Sage) k=44; [1]+[k*(k-1)^(n-1) for n in (1..25)] # _G. C. Greubel_, Oct 10 2019
%o A170763 (GAP) k:=44;; Concatenation([1], List([1..25], n-> k*(k-1)^(n-1) )); # _G. C. Greubel_, Oct 10 2019
%Y A170763 Cf. A003945.
%K A170763 nonn,easy
%O A170763 0,2
%A A170763 _N. J. A. Sloane_, Dec 04 2009