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

A369073

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

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =6a(5) =16a(6) =46a(7) =145a(8) =480a(9) =1820a(10) =6809a(11) =29214a(12) =133441a(13) =626090a(14) =3053048a(15) =16339753a(16) =89188931a(17) =509642042a(18) =3017799873a(19) =18798910220a(20) =120223747234a(21) =802412450368

External references