A169988 Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=5.

1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1

Offset

0,9

Comments

Product_{i=0..m-1} (1 + x^(2*i+1)) is the Poincaré polynomial for GL(m).

Number of self-conjugate partitions of n into at most 5 parts. Also, number of partitions of n into distinct odd parts not larger than 9. - Álvar Ibeas, Jul 30 2020

References

H. Weyl, The Classical Groups, Princeton, 1946, see p. 233.

Links

Table of n, a(n) for n=0..25.

Crossrefs

Cf. A169987-A169995, A000700.

Sequence in context: A361156 A097026 A189225 * A358052 A213259 A067597

Adjacent sequences: A169985 A169986 A169987 * A169989 A169990 A169991

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2010

Status

approved