Number of semistandard Young tableaux over all partitions of 5 with maximal element <= n.

Terms

a(0) =0a(1) =1a(2) =12a(3) =69a(4) =260a(5) =751a(6) =1812a(7) =3843a(8) =7400a(9) =13221a(10) =22252a(11) =35673a(12) =54924a(13) =81731a(14) =118132a(15) =166503a(16) =229584a(17) =310505a(18) =412812a(19) =540493a(20) =698004a(21) =890295a(22) =1122836a(23) =1401643a(24) =1733304a(25) =2125005a(26) =2584556a(27) =3120417a(28) =3741724a(29) =4458315