The a(7) = 27 tableaux correspond to the following ballot sequences (dots denote zeros).
##: ballot sequence partition
01: [ . . . . . . . ] [ 7 . . . . . . ]
02: [ . . . . . . 1 ] [ 6 1 . . . . . ]
03: [ . . . . . 1 . ] [ 6 1 . . . . . ]
04: [ . . . . . 1 1 ] [ 5 2 . . . . . ]
05: [ . . . . 1 . . ] [ 6 1 . . . . . ]
06: [ . . . . 1 . 1 ] [ 5 2 . . . . . ]
07: [ . . . . 1 1 . ] [ 5 2 . . . . . ]
08: [ . . . . 1 1 1 ] [ 4 3 . . . . . ]
09: [ . . . . 1 1 2 ] [ 4 2 1 . . . . ]
10: [ . . . 1 . . . ] [ 6 1 . . . . . ]
11: [ . . . 1 . . 1 ] [ 5 2 . . . . . ]
12: [ . . . 1 . 1 . ] [ 5 2 . . . . . ]
13: [ . . . 1 . 1 1 ] [ 4 3 . . . . . ]
14: [ . . . 1 . 1 2 ] [ 4 2 1 . . . . ]
15: [ . . . 1 1 . . ] [ 5 2 . . . . . ]
16: [ . . . 1 1 . 1 ] [ 4 3 . . . . . ]
17: [ . . . 1 1 . 2 ] [ 4 2 1 . . . . ]
18: [ . . . 1 1 2 . ] [ 4 2 1 . . . . ]
19: [ . . 1 . . . . ] [ 6 1 . . . . . ]
20: [ . . 1 . . . 1 ] [ 5 2 . . . . . ]
21: [ . . 1 . . 1 . ] [ 5 2 . . . . . ]
22: [ . . 1 . . 1 1 ] [ 4 3 . . . . . ]
23: [ . . 1 . . 1 2 ] [ 4 2 1 . . . . ]
24: [ . . 1 . 1 . . ] [ 5 2 . . . . . ]
25: [ . . 1 . 1 . 1 ] [ 4 3 . . . . . ]
26: [ . . 1 . 1 . 2 ] [ 4 2 1 . . . . ]
27: [ . . 1 . 1 2 . ] [ 4 2 1 . . . . ]
(End)
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