Triangle T(n,m) read by rows: The number of m-Schroeder paths of order n with 2 diagonal steps.

Terms

a(0) =1a(1) =6a(2) =21a(3) =30a(4) =180a(5) =546a(6) =140a(7) =1430a(8) =6120a(9) =17710a(10) =630a(11) =10920a(12) =65835a(13) =245700a(14) =695640a(15) =2772a(16) =81396a(17) =690690a(18) =3322704a(19) =11515140a(20) =32212719a(21) =12012a(22) =596904a(23) =7125300a(24) =44170896a(25) =187336380a(26) =619851960a(27) =1721286532a(28) =51480a(29) =4326300