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 A233543 #22 Jan 15 2025 21:16:35 %S A233543 1,1,1,1,1,2,1,1,2,6,1,1,2,6,24,1,1,2,6,24,120,1,1,2,6,24,120,720,1,1, %T A233543 2,6,24,120,720,5040,1,1,2,6,24,120,720,5040,40320,1,1,2,6,24,120,720, %U A233543 5040,40320,362880,1,1,2,6,24,120,720,5040,40320,362880,3628800 %N A233543 Triangle read by rows: T(n,k) = k!. %F A233543 T(n,k) = A000142(k). %e A233543 Triangle begins: %e A233543 1; %e A233543 1, 1; %e A233543 1, 1, 2; %e A233543 1, 1, 2, 6; %e A233543 1, 1, 2, 6, 24; %e A233543 1, 1, 2, 6, 24, 120; %e A233543 ... %t A233543 t[_, m_] := m!; Table[Table[t[n, m], {m, 0, n}], {n, 0, 9}] // Flatten (* _Jean-François Alcover_, Dec 12 2013 *) %Y A233543 Cf. A000142, A166350. %Y A233543 Row sums give A003422(n+1). %K A233543 nonn,tabl,less %O A233543 0,6 %A A233543 _Paul Curtz_, Dec 12 2013