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 A383202 #16 May 07 2025 20:05:24
%S A383202 9,86,813,7693,72786,688661,6515721,61648078,583279341,5518660133,
%T A383202 52214449434,494023669525,4674173312097,44224391459894,
%U A383202 418426247682381,3958913146568317,37457003208767394,354397037125653845,3353104871295311673,31725187008033469918
%N A383202 Number of positive integers with n digits in which adjacent digits differ by at most 7.
%H A383202 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (9,5,-6).
%F A383202 G.f.: -x*(6*x^2-5*x-9)/(6*x^3-5*x^2-9*x+1). - _Alois P. Heinz_, Apr 26 2025
%t A383202 Rest[CoefficientList[Series[-x*(6*x^2-5*x-9)/(6*x^3-5*x^2-9*x+1),{x,0,20}],x]] (* or *) LinearRecurrence[{9,5,-6},{9,86,813},20] (* _James C. McMahon_, May 07 2025 *)
%Y A383202 Cf. A235163, A383197, A383198, A383199, A383200, A383201.
%K A383202 nonn,base,easy
%O A383202 1,1
%A A383202 _Edwin Hermann_, Apr 19 2025
%E A383202 a(11)-a(20) from _Alois P. Heinz_, Apr 26 2025