Consider all sublists of [(2,1),(3,2,1),(4,3,2,1),...,(n,...,4,3,2,1)] and multiply these permutations in that order. How many of the products are n-cycles?

A068330

Consider all sublists of [(2,1),(3,2,1),(4,3,2,1),...,(n,...,4,3,2,1)] and multiply these permutations in that order. How many of the products are n-cycles?

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =11a(7) =20a(8) =36a(9) =65a(10) =118a(11) =215a(12) =389a(13) =727a(14) =1366a(15) =2565a(16) =4849a(17) =9123a(18) =17168a(19) =32629a(20) =62121a(21) =118353a(22) =226603a(23) =434512a(24) =833776a(25) =1605642a(26) =3101121a(27) =5993545a(28) =11593548a(29) =22443167

External references