Triangle read by rows: T(n,k) = numerators of "across the board" style tournament payouts.

Terms

a(0) =1a(1) =3a(2) =1a(3) =11a(4) =5a(5) =2a(6) =50a(7) =26a(8) =14a(9) =6a(10) =274a(11) =154a(12) =94a(13) =54a(14) =24a(15) =1764a(16) =1044a(17) =684a(18) =444a(19) =264a(20) =120a(21) =13068a(22) =8028a(23) =5508a(24) =3828a(25) =2568a(26) =1560a(27) =720a(28) =109584a(29) =69264