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 A344564 #3 May 29 2021 05:19:53 %S A344564 3,30,180,840,3360,12096,40320,126720,380160,1098240,3075072,8386560, %T A344564 22364160,58490880,150405120,381026304,952565760,2353397760, %U A344564 5752750080,13927710720,33426505728,79586918400,188114534400,441660211200,1030540492800,2390853943296 %N A344564 a(n) = [x^n] -3/(2*x - 1)^5. %F A344564 a(n) = 2*(n + 4)*a(n - 1) / n for n >= 2. %F A344564 a(n) = 2^(n - 3)*(n + 1)*(n + 2)*(n + 3)*(n + 4). %F A344564 a(n) = n! * [x^n] (2*x^4 + 16*x^3 + 36*x^2 + 24*x + 3)*exp(2*x). %F A344564 a(n) ~ 2^(n - 3) * n^4. %p A344564 a := n -> 2^(n - 3)*(n + 1)*(n + 2)*(n + 3)*(n + 4): seq(a(n), n = 0..25); %Y A344564 Row sums of A344565. %K A344564 nonn %O A344564 0,1 %A A344564 _Peter Luschny_, May 29 2021