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 A155667 #16 Aug 02 2024 18:55:21 %S A155667 1,3,37,489,5905,67233,737857,7902849,83222785,865782273,8926258177, %T A155667 91410065409,931280523265,9450244186113,95601953488897, %U A155667 964815627911169,9718525023289345,97748200186314753,981985601490518017 %N A155667 a(n) = 10^n-8^n+1. %H A155667 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (19,-98,80). %F A155667 G.f.: 1/(1-10*x)-1/(1-8*x)+1/(1-x). %F A155667 E.g.f.: e^(10*x)-e^(8*x)+e^x. %F A155667 a(n) = 18*a(n-1)-80*a(n-2)+63 with a(0) = 1, a(1) = 3. - _Vincenzo Librandi_, Jul 21 2010 %F A155667 a(n) = 19*a(n-1) - 98*a(n-2) + 80*a(n-3). - _Wesley Ivan Hurt_, Apr 18 2023 %t A155667 Table[10^n - 8^n + 1, {n, 0, 25}] (* _Paolo Xausa_, Aug 02 2024 *) %o A155667 (PARI) a(n)=10^n-8^n+1 \\ _Charles R Greathouse IV_, Jun 11 2015 %Y A155667 Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663, A155664, A155665, A155666. %K A155667 nonn,easy %O A155667 0,2 %A A155667 _Mohammad K. Azarian_, Jan 31 2009