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 A375304 #11 Mar 30 2025 06:32:16
%S A375304 1,0,0,1,2,24,0,4,672,358560,1,20,38976,476850240,20911317073920,0,
%T A375304 100,3550848,1304813266560,2432400136566865920,
%U A375304 15510918113914245120000000,1,620,471899904,6394544826128640,620390024129961834577920,265250998502017388926894080000000,371993135808163790752351286618750976000000
%N A375304 Triangle read by rows, T(n,k) = Sum_{i=0..n} (-1)^i*(k!)^i*(n*k-i*k)!, 0<=k<=n.
%C A375304 For a combinatorial interpretation see Janjić, page 10, corollary 3.6.
%H A375304 Milan Janjić, <a href="https://web.archive.org/web/20130527052801/http://www.pmfbl.org/janjic/enumfun.pdf">Enumerative Formulae for Some Functions on Finite Sets</a>.
%e A375304 The triangle begins
%e A375304 1,
%e A375304 0, 0,
%e A375304 1, 2, 24,
%e A375304 0, 4, 672, 358560,
%e A375304 1, 20, 38976, 476850240, 20911317073920,
%e A375304 0, 100, 3550848, 1304813266560, 2432400136566865920, 15510918113914245120000000,
%e A375304 ...
%Y A375304 Cf. A153229 (column 1).
%K A375304 nonn,tabl
%O A375304 0,5
%A A375304 _Hugo Pfoertner_, Aug 11 2024