Lower triangular array called S1hat(3) related to partition number array A144880.

Terms

a(0) =1a(1) =3a(2) =1a(3) =12a(4) =3a(5) =1a(6) =60a(7) =21a(8) =3a(9) =1a(10) =360a(11) =96a(12) =21a(13) =3a(14) =1a(15) =2520a(16) =684a(17) =123a(18) =21a(19) =3a(20) =1a(21) =20160a(22) =4320a(23) =792a(24) =123a(25) =21a(26) =3a(27) =1a(28) =181440a(29) =35640