Ninth diagonal of table A060850 counting partitions into parts of k kinds.

Terms

a(0) =22a(1) =185a(2) =810a(3) =2580a(4) =6765a(5) =15525a(6) =32305a(7) =62337a(8) =113265a(9) =195910a(10) =325193a(11) =521235a(12) =810654a(13) =1228080a(14) =1817910a(15) =2636326a(16) =3753600a(17) =5256711a(18) =7252300a(19) =9869990a(20) =13266099a(21) =17627775a(22) =23177583a(23) =30178575a(24) =38939875a(25) =49822812a(26) =63247635