Number of standard Young tableaux of n cells and height <= 11.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =26a(6) =76a(7) =232a(8) =764a(9) =2620a(10) =9496a(11) =35696a(12) =140151a(13) =568491a(14) =2390311a(15) =10347911a(16) =46191551a(17) =211671999a(18) =996269310a(19) =4801547628a(20) =23695885170a(21) =119481280210a(22) =615372604033