A generalization of triangle A071951 (Legendre-Stirling).

Terms

a(0) =1a(1) =6a(2) =1a(3) =36a(4) =30a(5) =1a(6) =216a(7) =756a(8) =90a(9) =1a(10) =1296a(11) =18360a(12) =6156a(13) =210a(14) =1a(15) =7776a(16) =441936a(17) =387720a(18) =31356a(19) =420a(20) =1a(21) =46656a(22) =10614240a(23) =23705136a(24) =4150440a(25) =119556a(26) =756a(27) =1a(28) =279936a(29) =254788416