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 A351422 #18 Feb 16 2022 04:12:26
%S A351422 1,-2,8,-48,386,-3905,47701,-683592,11250291,-209168071,4336482905,
%T A351422 -99197868847,2481962140797,-67426166949102,1976463051528507,
%U A351422 -62178381389729317,2089532143617395264,-74702625442877063902,2830904065389397804534,-113348477836878447492630
%N A351422 Expansion of e.g.f. -log(1 - log(1 + log(1 + log(1+x)))).
%F A351422 a(n) = T(n,4), T(n,k) = Sum_{j=1..n} Stirling1(n,j) * T(j,k-1), k>1, T(n,1) = (n-1)!.
%t A351422 T[n_, 1] := (n - 1)!; T[n_, k_] := T[n, k] = Sum[StirlingS1[n, j] * T[j, k - 1], {j, 1, n}]; a[n_] := T[n, 4]; Array[a, 20] (* _Amiram Eldar_, Feb 11 2022 *)
%o A351422 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(-log(1-log(1+log(1+log(1+x))))))
%o A351422 (PARI) T(n, k) = if(k==1, (n-1)!, sum(j=1, n, stirling(n, j, 1)*T(j, k-1)));
%o A351422 a(n) = T(n, 4);
%Y A351422 Column k=4 of A351420.
%Y A351422 Cf. A000310, A351427.
%K A351422 sign
%O A351422 1,2
%A A351422 _Seiichi Manyama_, Feb 11 2022