Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.

A057731

Irregular triangle read by rows: T(n,k) = number of elements of order k in symmetric group S_n, for n >= 1, 1 <= k <= g(n), where g(n) = A000793(n) is Landau's function.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =2a(6) =1a(7) =9a(8) =8a(9) =6a(10) =1a(11) =25a(12) =20a(13) =30a(14) =24a(15) =20a(16) =1a(17) =75a(18) =80a(19) =180a(20) =144a(21) =240a(22) =1a(23) =231a(24) =350a(25) =840a(26) =504a(27) =1470a(28) =720a(29) =0

External references