Number of Young tableaux of height <= 7.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =10a(5) =26a(6) =76a(7) =232a(8) =763a(9) =2611a(10) =9415a(11) =35135a(12) =136335a(13) =544623a(14) =2242618a(15) =9463508a(16) =40917803a(17) =180620411a(18) =813405580a(19) =3728248990a(20) =17377551032a(21) =82232982872a(22) =394742985974