login
A246731
Number of standard Young tableaux with 2n cells and largest value in row n.
1
1, 1, 3, 14, 106, 971, 10616, 123330, 1557753, 20543071, 287087740, 4168599808, 63349129196, 996257865899, 16268585660692, 273934662738565, 4763228582494891, 85139749375446911, 1565168115090666500, 29500470904432682460, 570091884338189871500
OFFSET
0,3
COMMENTS
Also the number of ballot sequences of length 2n having last value n.
Also the number of standard Young tableaux with 2n cells where the row containing the largest value has length n.
Also the number of ballot sequences of length 2n where the last value has multiplicity n.
FORMULA
a(n) = A238750(2n,n).
CROSSREFS
Cf. A238750.
Sequence in context: A271213 A167017 A051106 * A349584 A258298 A121951
KEYWORD
nonn
AUTHOR
Joerg Arndt and Alois P. Heinz, Sep 02 2014
STATUS
approved