

A170984


Expansion of (Product_{i=1..m1} (1 + x^(4*i1))) * (1 + x^(2*m1)) for m = 12.


11



1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 4, 1, 0, 2, 4, 1, 0, 4, 5, 1, 1, 5, 5, 1, 1, 7, 6, 1, 3, 9, 6, 0, 4, 11, 6, 0, 7, 13, 5, 1, 9, 15, 5, 2, 13, 16, 4, 3, 16, 17, 4, 5, 21, 18, 2, 8, 24, 17, 2, 12, 29, 16, 3, 16, 31, 15, 3, 21, 35, 13, 4, 27, 35, 11, 6, 33, 37
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OFFSET

0,19


COMMENTS

(Product_{i=1..m1} (1 + x^(4*i1))) * (1 + x^(2*m1)) is the PoincarĂ© polynomial for O(2m).


REFERENCES

H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..276


PROG

(PARI) my(m=12, x='x+O('x^275)); Vec((1+x^(2*m1))*prod(i=1, m1, 1+x^(4*i1))) \\ Jinyuan Wang, Mar 08 2020


CROSSREFS

Sequence in context: A303903 A348515 A209318 * A114021 A239287 A305258
Adjacent sequences: A170981 A170982 A170983 * A170985 A170986 A170987


KEYWORD

nonn,fini,full,easy


AUTHOR

N. J. A. Sloane, Aug 29 2010


STATUS

approved



