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 A155672 #13 Jul 22 2025 06:19:29 %S A155672 1,3,41,603,8081,102003,1240121,14704203,171312161,1970527203, %T A155672 22450640201,253930611003,2855998840241,31980846315603, %U A155672 356873041128281,3971357037321003,44096709674720321,488769846799627203 %N A155672 11^n-9^n+1^n. %H A155672 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (21,-119,99). %F A155672 G.f.: 1/(1-11*x)-1/(1-9*x)+1/(1-x). E.g.f.: e^(11*x)-e^(9*x)+e^x. %F A155672 a(n)=20*a(n-1)-99*a(n-2)+80 with a(0)=1, a(1)=3 [From _Vincenzo Librandi_, Jul 21 2010] %t A155672 Table[11^n-9^n+1,{n,0,30}] (* or *) LinearRecurrence[{21,-119,99},{1,3,41},30] (* _Harvey P. Dale_, May 07 2019 *) %Y A155672 A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666, A155667, A155668, A155669, A155670, A155671 %K A155672 nonn %O A155672 0,2 %A A155672 _Mohammad K. Azarian_, Feb 01 2009