Triangle read by rows: T(n,k) = count of increasing runs in two concatenated k-permutations of [n].

Terms

a(0) =2a(1) =7a(2) =11a(3) =15a(4) =96a(5) =132a(6) =26a(7) =378a(8) =2088a(9) =2664a(10) =40a(11) =1040a(12) =12960a(13) =66240a(14) =80640a(15) =57a(16) =2325a(17) =51600a(18) =594000a(19) =2894400a(20) =3412800a(21) =77a(22) =4536a(23) =157500a(24) =3225600a(25) =35380800a(26) =166924800a(27) =192326400a(28) =100a(29) =8036