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A170958 Expansion of Prod((1+x^(4*i-1)),i=1..m) for m = 5. 0
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,19

COMMENTS

Prod((1+x^(4*i-1)),i=1..m) 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..55.

MATHEMATICA

CoefficientList[Series[Product[1+x^(4i-1), {i, 5}], {x, 0, 60}], x] (* Harvey P. Dale, Mar 09 2019 *)

CROSSREFS

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

Sequence in context: A063933 A085860 A178665 * A178651 A046810 A328515

Adjacent sequences:  A170955 A170956 A170957 * A170959 A170960 A170961

KEYWORD

nonn,fini,full

AUTHOR

N. J. A. Sloane, Aug 29 2010

STATUS

approved

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Last modified January 22 07:39 EST 2020. Contains 331139 sequences. (Running on oeis4.)