Number of standard Young tableaux of n cells and height <= 12.

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) =140152a(13) =568503a(14) =2390466a(15) =10349340a(16) =46204720a(17) =211779200a(18) =997134592a(19) =4808141824a(20) =23745792032a(21) =119848119307a(22) =618058083314