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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 (list; graph; refs; listen; history; text; internal format)
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: A294002 A001147 A000268 * A118750 A070826 A048599

Adjacent sequences:  A207815 A207816 A207817 * A207819 A207820 A207821

KEYWORD

nonn

AUTHOR

Thotsaporn Thanatipanonda, Feb 27 2012

STATUS

approved

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Last modified October 21 09:06 EDT 2018. Contains 316406 sequences. (Running on oeis4.)