Triangle read by rows: T(n,k) is the number of n X k Young tableaux, where 0 <= k <= n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =1a(7) =1a(8) =5a(9) =42a(10) =1a(11) =1a(12) =14a(13) =462a(14) =24024a(15) =1a(16) =1a(17) =42a(18) =6006a(19) =1662804a(20) =701149020a(21) =1a(22) =1a(23) =132a(24) =87516a(25) =140229804a(26) =396499770810a(28) =1a(29) =1a(30) =429