A086644 Permanent of the character table of the symmetric group S_n.

1, 0, 0, 0, 0, 0, 0, -20834715303936, 602706855887546351616

Offset: 1

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Jul 26 2003

Keywords

• sign
• more

Comments

In the Schmidt-Simion reference it is proved that if A000701(n) is odd then a(n) = 0. So a(11)=a(12)=a(13)=0. The computation of a(10) involves a permanent of dimension 42, and it may take a long time for GAP to compute it.

Links

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

Crossrefs

Cf. A007870.

Programs

GAP

Permanent(Irr(SymmetricGroup(n)));

Extensions

a(9) from Ferenc Szollosi, Jul 25 2014