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 A233328 #27 Feb 10 2024 03:44:18 %S A233328 1,17,145,1169,9361,74897,599185,4793489,38347921,306783377, %T A233328 2454267025,19634136209,157073089681,1256584717457,10052677739665, %U A233328 80421421917329,643371375338641,5146971002709137,41175768021673105,329406144173384849,2635249153387078801 %N A233328 a(n) = (2*8^(n+1) - 9) / 7. %C A233328 Sum of n-th row of triangle of powers of 8: 1; 8 1 8; 64 8 1 8 64 ; 512 64 8 1 8 64 512; ... %H A233328 Vincenzo Librandi, <a href="/A233328/b233328.txt">Table of n, a(n) for n = 0..200</a> %H A233328 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (9,-8). %F A233328 G.f.: (1+8*x)/((1-x)*(1-8*x)). %F A233328 a(n) = 9*a(n-1) - 8*a(n-2) for n>1, a(0)=1, a(1)=17. %F A233328 a(n) = 8*a(n-1) + 9 for n>0, a(0)=1. %F A233328 a(n) = A226308(3n+1). %e A233328 a(0) = 1; %e A233328 a(1) = 8 + 1 + 8 = 17; %e A233328 a(2) = 64 + 8 + 1 + 8 + 64 = 145; %e A233328 a(3) = 512 + 64 + 8 + 1 + 8 + 64 + 512 = 1169; etc. %t A233328 Table[(2 8^(n + 1) - 9)/7, {n, 0, 30}] (* _Vincenzo Librandi_, Feb 25 2014 *) %t A233328 LinearRecurrence[{9,-8},{1,17},30] (* _Harvey P. Dale_, Apr 29 2019 *) %o A233328 (Magma) [(2*8^(n+1)-9)/7: n in [0..30]]; // _Vincenzo Librandi_, Feb 25 2014 %Y A233328 Cf. A226308 %K A233328 nonn,easy %O A233328 0,2 %A A233328 _Philippe Deléham_, Feb 23 2014