A169995 Expansion of Product_{i=0..m-1} (1 + x^(2*i+1)) for m=12.

1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 5, 5, 5, 6, 7, 8, 8, 9, 11, 11, 11, 13, 14, 15, 15, 17, 19, 20, 20, 22, 25, 25, 26, 28, 31, 31, 32, 34, 37, 38, 38, 40, 44, 44, 44, 47, 49, 50, 50, 53, 55, 56, 55, 58, 60, 60, 59, 62, 64, 63, 63, 64, 66, 65, 64, 65, 68, 65, 64, 65, 66, 64, 63, 63

Offset: 0

Author

N. J. A. Sloane, Aug 29 2010

Keywords

• nonn
• fini
• full
• easy

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 12 parts. Also, number of partitions of n into distinct odd parts not larger than 23. - Álvar Ibeas, Aug 01 2020

References

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

Links

• Nathaniel Johnston, Table of n, a(n) for n = 0..144 (full sequence)

Crossrefs

Cf. A000700, A169987, A169988, A169989, A169990, A169991, A169992, A169993, A169994.