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A207818
The sum of the second powers of the numbers of solid standard Young tableaux over all planar partitions of n.
1
1, 3, 15, 105, 981, 11775, 174309, 3070293, 62728749, 1462046235, 38446605975, 1131448219263, 37011386961477, 1337106744965847, 53005310776229283, 2290750722850361415, 107258522028595441911, 5410293190992424617243, 292567014870308385871989
OFFSET
1,2
REFERENCES
Shalosh B. Ekhad and Doron Zeilberger, Computational and Theoretical Challenges On Counting Solid Standard Young Tableaux.
LINKS
EXAMPLE
a(2) = 3 since the planar partitions [[2]], [[1,1]], [[1],[1]] in which each of these has only one tableaux.
MAPLE
# see link above for program.
CROSSREFS
Sequence in context: A330797 A360438 A000268 * A354218 A118750 A070826
KEYWORD
nonn
AUTHOR
STATUS
approved