Number of Young tableaux of height <= 8.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =26a(6) =76a(7) =232a(8) =764a(9) =2619a(10) =9486a(11) =35596a(12) =139392a(13) =562848a(14) =2352064a(15) =10092160a(16) =44546320a(17) =201158620a(18) =930213752a(19) =4387327088a(20) =21115314916a(21) =103386386516a(22) =515097746072