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 A191718 #7 Mar 30 2012 18:37:45 %S A191718 1,0,2,2,0,4,0,14,0,10,24,0,70,0,26,0,304,0,340,0,76,720,0,2548,0, %T A191718 1540,0,232,0,13488,0,18956,0,7112,0,764,40320,0,161936,0,125580,0, %U A191718 32424,0,2620,0,1011456,0,1648160,0,808248,0,151440,0,9496,3628800 %N A191718 a(n,k) is the count of permutations with cycle length k in the products w*w over all permutations w of length n. %C A191718 Row sums equal n! by definition. %H A191718 R. Stanley, <a href="http://www-math.mit.edu/~rstan/transparencies/hooks.pdf">Hook Lengths and Contents, slide 28</a> %t A191718 (* slow *) %t A191718 Table[Rest@ CoefficientList[ Apply[Plus, (q^Length[ToCycles[# [[#]] ]])& /@ Permutations[n] ] ,q],{n,6}] %t A191718 (* fast, content[] see A191714 *) %t A191718 Table[Rest@ CoefficientList[ Apply[Plus, NumberOfTableaux[#]Apply[Times,q+Flatten[content[#]]]& /@ Partitions[n]] ,q],{n,6}] %Y A191718 Cf. A191714. %K A191718 nonn,tabl %O A191718 1,3 %A A191718 _Wouter Meeussen_, Jun 12 2011