|
|
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
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|