Number of semistandard Young tableaux over all partitions of 7 with maximal element <= n.

Terms

a(0) =0a(1) =1a(2) =20a(3) =189a(4) =1100a(5) =4615a(6) =15372a(7) =43219a(8) =106808a(9) =238581a(10) =491380a(11) =946913a(12) =1726308a(13) =3002987a(14) =5018092a(15) =8098695a(16) =12679024a(17) =19324937a(18) =28761876a(19) =41906533a(20) =59902460a(21) =84159855a(22) =116399756a(23) =158702875a(24) =213563304a(25) =283947325a(26) =373357556a(27) =485902665a(28) =626372884a(29) =800321555