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 A238276 #18 Jul 01 2023 14:18:12 %S A238276 1,10,82,658,5266,42130,337042,2696338,21570706,172565650,1380525202, %T A238276 11044201618,88353612946,706828903570,5654631228562,45237049828498, %U A238276 361896398627986,2895171189023890,23161369512191122,185290956097528978,1482327648780231826 %N A238276 a(n) = (9*8^n - 2)/7. %C A238276 Sum of n-th row of triangle of powers of 8: 1; 1 8 1; 1 8 64 8 1; 1 8 64 512 64 8 1; ... %H A238276 Vincenzo Librandi, <a href="/A238276/b238276.txt">Table of n, a(n) for n = 0..200</a> %H A238276 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (9, -8). %F A238276 G.f.: (1+x)/((1-x)*(1-8*x)). %F A238276 a(n) = 8*a(n-1) + 2, a(0) = 1. %F A238276 a(n) = 9*a(n-1) - 8*a(n-2), a(0) = 1, a(1) = 10. %F A238276 a(n) = Sum_{k=0..n} A112468(n,k)*9^k. %e A238276 a(0) = 1; %e A238276 a(1) = 1 + 8 + 1 = 10; %e A238276 a(2) = 1 + 8 + 64 + 8 + 1 = 82; %e A238276 a(3) = 1 + 8 + 64 + 512 + 64 + 8 + 1 = 658; etc. %t A238276 Table[(9 8^n - 2)/7, {n, 0, 50}] (* _Vincenzo Librandi_, Feb 23 2014 *) %o A238276 (Magma) [(9*8^n - 2)/7: n in [0..30]]; // _Vincenzo Librandi_, Feb 23 2014 %Y A238276 Cf. Similar sequences: A151575, A000012, A040000, A005408, A033484, A048473, A020989, A057651, A061801, A238275, this sequence, A138894, A090843, A199023. %Y A238276 Cf. A112468, A112739. %K A238276 nonn,easy %O A238276 0,2 %A A238276 _Philippe Deléham_, Feb 21 2014 %E A238276 Corrected by _Vincenzo Librandi_, Feb 23 2014