A207818 The sum of the second powers of the numbers of solid standard Young tableaux over all planar partitions of n.

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

Table of n, a(n) for n=1..19.

Thotsaporn Thanatipanonda, Maple code for A207818

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

Adjacent sequences: A207815 A207816 A207817 * A207819 A207820 A207821

Keyword

nonn

Author

Thotsaporn Thanatipanonda, Feb 27 2012

Status

approved