A170959 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 6.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 3, 0, 0, 2, 2, 0, 0, 3, 2, 0, 1, 3, 1, 0, 1, 3, 1, 0, 2, 3, 0, 0, 2, 2, 0, 0, 3, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1

Offset

0,19

Comments

Product_{i=1..m} (1 + x^(4*i-1)) is the Poincaré polynomial for both Sp(2m) and O(2m+1).

References

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

Links

Table of n, a(n) for n=0..78.

Crossrefs

Cf. A000700, A147599, A169975, A170956-A170965.

Sequence in context: A194523 A362721 A180714 * A170960 A170961 A170962

Adjacent sequences: A170956 A170957 A170958 * A170960 A170961 A170962

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Aug 29 2010

Status

approved