A170982 Expansion of (Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) for m = 10.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 3, 1, 0, 1, 4, 1, 0, 3, 4, 1, 0, 4, 5, 1, 1, 6, 5, 0, 2, 7, 5, 0, 3, 10, 4, 0, 5, 10, 4, 0, 8, 12, 3, 2, 10, 12, 2, 2, 13, 12, 1, 4, 16, 10, 1, 6, 18, 10, 0, 10, 19, 7, 1, 12, 20, 6, 2, 16, 19, 4, 3, 18, 18, 3, 5, 22, 16, 1, 8, 22, 13, 1

Offset

0,19

Comments

(Product_{i=1..m-1} (1 + x^(4*i-1))) * (1 + x^(2*m-1)) is the Poincaré 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..190

Prog

(PARI) my(m=10, x='x+O('x^189)); Vec((1+x^(2*m-1))*prod(i=1, m-1, 1+x^(4*i-1))) \\ Jinyuan Wang, Mar 08 2020

Crossrefs

Sequence in context: A166387 A000209 A359901 * A296339 A362686 A104245

Adjacent sequences: A170979 A170980 A170981 * A170983 A170984 A170985

Keyword

nonn,fini,full,easy

Author

N. J. A. Sloane, Aug 29 2010

Status

approved