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Prod((1+x^(4*i-1)),i=1..m) is the Poincaré polynomial for both Sp(2m) and O(2m+1).
H. Weyl, The Classical Groups, Princeton, 1946, see p. 238.
Table of n, a(n) for n=0..78.
Cf. A000700, A147599, A169975, A170956-A170965.
Sequence in context: A010751 A194523 A180714 * A170960 A170961 A170962
Adjacent sequences: A170956 A170957 A170958 * A170960 A170961 A170962
N. J. A. Sloane, Aug 29 2010