Number of Young tableaux of height <= 6.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =26a(6) =76a(7) =231a(8) =756a(9) =2556a(10) =9096a(11) =33231a(12) =126060a(13) =488488a(14) =1948232a(15) =7907185a(16) =32831370a(17) =138321690a(18) =593610420a(19) =2579109780a(20) =11377862340a(21) =50726936820a(22) =229078351992