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 A196676 #17 Mar 25 2025 19:20:32 %S A196676 1,17,425,10625,265625,6640625,166015625,4150390625,103759765625, %T A196676 2593994140625,64849853515625,1621246337890625,40531158447265625, %U A196676 1013278961181640625,25331974029541015625,633299350738525390625,15832483768463134765625,395812094211578369140625,9895302355289459228515625 %N A196676 Expansion of g.f. (1-8*x)/(1-25*x). %H A196676 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (25). %F A196676 a(0) = 1, a(n) = 17*25^(n-1) for n>0. %F A196676 a(n) = Sum_{k=0..n} A193722(n,k)*8^k. %F A196676 From _Elmo R. Oliveira_, Mar 25 2025: (Start) %F A196676 E.g.f.: (17*exp(25*x) + 8)/25. %F A196676 a(n) = 25*a(n-1) for n > 1. (End) %t A196676 CoefficientList[Series[(1-8x)/(1-25x),{x,0,30}],x] (* _Harvey P. Dale_, Apr 29 2014 *) %Y A196676 Cf. A002001, A193722, A196661, A196662, A196663, A196664, A196665, A196666. %K A196676 nonn,easy %O A196676 0,2 %A A196676 _Philippe Deléham_, Oct 05 2011 %E A196676 More terms from _Elmo R. Oliveira_, Mar 25 2025