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 A383415 #4 Apr 27 2025 15:03:50 %S A383415 7,43,195,811,3283,13179,52771,211147,844659,3378715,13514947, %T A383415 54059883,216239635,864958651,3459834723,13839339019,55357356211, %U A383415 221429424987,885717700099,3542870800555,14171483202387,56685932809723,226743731239075,906974924956491,3627899699826163 %N A383415 Antidiagonal sums of A383414. %H A383415 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-9,4). %F A383415 a(n) = (29*4^(n+1) - 24*n - 53)/9. %F A383415 G.f.: (7 + x)/((1 - 4*x)*(1 - x)^2). %F A383415 E.g.f.: exp(x)*(116*exp(3*x) - 24*x - 53)/9. %t A383415 a[n_]:=(29*4^(n+1) - 24*n - 53)/9; Array[a,25,0] %Y A383415 Cf. A383414. %K A383415 nonn,easy %O A383415 0,1 %A A383415 _Stefano Spezia_, Apr 26 2025