

A169995


Expansion of Prod((1+x^(2*i+1)),i=0..m1) 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
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OFFSET

0,9


COMMENTS

Prod((1+x^(2*i+1)),i=0..m1) is the Poincaré polynomial for GL(m).
Number of selfconjugate 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



