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

Author

Thotsaporn Thanatipanonda, Feb 27 2012

Keywords

• nonn

Examples

			a(2) = 3 since the planar partitions [[2]], [[1,1]], [[1],[1]] in which each of these has only one tableaux.
		

References

• Shalosh B. Ekhad and Doron Zeilberger, Computational and Theoretical Challenges On Counting Solid Standard Young Tableaux.

Links

• Thotsaporn Thanatipanonda, Maple code for A207818

Programs

Maple

# see link above for program.