Number of semistandard Young tableaux over all partitions of 6 with maximal element <= n.

Terms

a(0) =0a(1) =1a(2) =16a(3) =119a(4) =560a(5) =1955a(6) =5552a(7) =13573a(8) =29632a(9) =59229a(10) =110320a(11) =193963a(12) =325040a(13) =523055a(14) =813008a(15) =1226345a(16) =1801984a(17) =2587417a(18) =3639888a(19) =5027647a(20) =6831280a(21) =9145115a(22) =12078704a(23) =15758381a(24) =20328896a(25) =25955125a(26) =32823856a(27) =41145651a(28) =51156784a(29) =63121255