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A169987 Expansion of Prod((1+x^(2*i+1)),i=0..m-1) for m=4. 14
1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1 (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 4 parts. Also, number of partitions of n into distinct odd parts not larger than 7. - 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..16.

MAPLE

f:=proc(m) local x, t1; t1:=mul((1+x^(2*i+1)), i=0..m-1); series(expand(t1), x, 200); end;

g:=m->seriestolist(f(m)); g(4);

CROSSREFS

Cf. A169987-A169995 (these are all rows of the triangle in A178666), A000700.

Sequence in context: A037909 A181506 A319797 * A267611 A178666 A206706

Adjacent sequences:  A169984 A169985 A169986 * A169988 A169989 A169990

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Aug 29 2010

STATUS

approved

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Last modified September 20 02:21 EDT 2020. Contains 337261 sequences. (Running on oeis4.)