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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 (list; graph; refs; listen; history; text; internal format)
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
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

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Last modified February 26 09:21 EST 2024. Contains 370338 sequences. (Running on oeis4.)