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A007870 Determinant of character table of symmetric group S_n. 4
1, 2, 6, 96, 2880, 9953280, 100329062400, 10651768002183168000, 150283391703941024789299200000, 9263795272057860957392207640004657152000000000 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

F. W. Schmidt and R. Simion, On a partition identity, J. Combin. Theory, A 36 (1984), 249-252.

FORMULA

Product of all parts of all partitions of n.

MATHEMATICA

Table[Times@@Flatten[Partitions[n]], {n, 10}]

CROSSREFS

Cf. A086644.

Sequence in context: A129364 A092287 A035482 * A081992 A066091 A100704

Adjacent sequences:  A007867 A007868 A007869 * A007871 A007872 A007873

KEYWORD

nonn

AUTHOR

Peter Cameron [ P.J.Cameron(AT)qmw.ac.uk ], Gotz Pfeiffer [ goetz(AT)dcs.st-and.ac.uk ]

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Last modified February 17 05:54 EST 2012. Contains 205985 sequences.