Number of permutations of [n] such that for each cycle the arithmetic mean of the elements is an integer.

A369074

Number of permutations of [n] such that for each cycle the arithmetic mean of the elements is an integer.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =4a(4) =8a(5) =50a(6) =144a(7) =1416a(8) =4956a(9) =73776a(10) =257040a(11) =5945376a(12) =27326592a(13) =741487104a(14) =2932516224a(15) =131001886656a(16) =638526753792

External references