Lower triangular array called S2hat(-1) related to partition number array A144269.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =1a(5) =1a(6) =15a(7) =4a(8) =1a(9) =1a(10) =105a(11) =18a(12) =4a(13) =1a(14) =1a(15) =945a(16) =129a(17) =19a(18) =4a(19) =1a(20) =1a(21) =10395a(22) =1095a(23) =132a(24) =19a(25) =4a(26) =1a(27) =1a(28) =135135a(29) =11880