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A169995 Expansion of Prod((1+x^(2*i+1)),i=0..m-1) for m=12. 11
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

Prod((1+x^(2*i+1)),i=0..m-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.

Sequence in context: A325620 A270433 A169994 * A213419 A000700 A081362

Adjacent sequences:  A169992 A169993 A169994 * A169996 A169997 A169998

KEYWORD

nonn,fini,full,easy,changed

AUTHOR

N. J. A. Sloane, Aug 29 2010

STATUS

approved

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Last modified August 10 16:56 EDT 2020. Contains 336381 sequences. (Running on oeis4.)