Lower triangular array called S2hat(-2) related to partition number array A144274.

Terms

a(0) =1a(1) =2a(2) =1a(3) =10a(4) =2a(5) =1a(6) =80a(7) =14a(8) =2a(9) =1a(10) =880a(11) =100a(12) =14a(13) =2a(14) =1a(15) =12320a(16) =1140a(17) =108a(18) =14a(19) =2a(20) =1a(21) =209440a(22) =14880a(23) =1180a(24) =108a(25) =14a(26) =2a(27) =1a(28) =4188800a(29) =249280