A246731 Number of standard Young tableaux with 2n cells and largest value in row n.

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.

Links

Table of n, a(n) for n=0..20.

Formula

a(n) = A238750(2n,n).

Crossrefs

Cf. A238750.

Sequence in context: A271213 A167017 A051106 * A349584 A258298 A121951

Adjacent sequences: A246728 A246729 A246730 * A246732 A246733 A246734

Keyword

nonn

Author

Joerg Arndt and Alois P. Heinz, Sep 02 2014

Status

approved