Number of standard Young tableaux of n cells and height <= 9.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =26a(6) =76a(7) =232a(8) =764a(9) =2620a(10) =9495a(11) =35685a(12) =140031a(13) =567503a(14) =2382394a(15) =10290308a(16) =45780063a(17) =208852719a(18) =977152266a(19) =4674398032a(20) =22854255698a(21) =113957313538a(22) =579157509082