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 A343584 #12 May 04 2021 12:02:23
%S A343584 1,0,-3,-10,25,574,2653,-30234,-644079,-2438722,102934381,2094370486,
%T A343584 680814121,-762930678498,-14273311787139,102712339811654,
%U A343584 10395244787594401,165359347094406526,-3771699711640161587,-231946002714537442026,-2649765469158480160839
%N A343584 a(n) = Sum_{j=0..n}(-1)^(n-j)*binomial(n, j)*A028246(n+1, j+1).
%p A343584 T := (n, k) -> add(combinat:-eulerian1(n, j)*binomial(n-j, n-k), j=0..n):
%p A343584 a := n -> add((-1)^(n-j)*T(n, j)*binomial(n, j), j=0..n): seq(a(n), n=0..22);
%o A343584 (PARI) T(n, j) = stirling(n, k, 2)*(k-1)!; \\ A028246
%o A343584 a(n) = sum(j=0, n, (-1)^(n-j)*binomial(n, j)*T(n+1, j+1)); \\ _Michel Marcus_, May 04 2021
%Y A343584 Cf. A028246, A173018.
%K A343584 sign
%O A343584 0,3
%A A343584 _Peter Luschny_, Apr 28 2021