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 A199763 #19 Mar 26 2025 08:32:46 %S A199763 10,100,1090,11980,131770,1449460,15944050,175384540,1929229930, %T A199763 21221529220,233436821410,2567805035500,28245855390490, %U A199763 310704409295380,3417748502249170,37595233524740860,413547568772149450,4549023256493643940,50039255821430083330,550431814035730916620 %N A199763 a(n) = 9*11^n + 1. %H A199763 Vincenzo Librandi, <a href="/A199763/b199763.txt">Table of n, a(n) for n = 0..900</a> %H A199763 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (12,-11). %F A199763 a(n) = 11*a(n-1) - 10. %F A199763 a(n) = 12*a(n-1) - 11*a(n-2). %F A199763 G.f.: 10*(1-2*x)/((1-x)*(1-11*x)). %F A199763 From _Elmo R. Oliveira_, Mar 25 2025: (Start) %F A199763 E.g.f.: exp(x)*(9*exp(10*x) + 1). %F A199763 a(n) = 10*A199760(n). (End) %t A199763 9*11^Range[0,20]+1 (* or *) LinearRecurrence[{12,-11},{10,100},20] (* _Harvey P. Dale_, Sep 06 2021 *) %o A199763 (Magma) [9*11^n+1: n in [0..30]]; %Y A199763 Cf. A199760. %K A199763 nonn,easy %O A199763 0,1 %A A199763 _Vincenzo Librandi_, Nov 10 2011