

A170965


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


12



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, 1, 0, 2, 3, 1, 0, 3, 4, 1, 1, 4, 4, 1, 1, 5, 5, 1, 2, 7, 5, 1, 3, 8, 6, 0, 5, 10, 5, 1, 6, 12, 5, 1, 9, 13, 4, 2, 11, 14, 4, 3, 15, 15, 3, 5, 17, 15, 3, 7, 21, 15, 3, 10, 23, 15, 3, 13, 27, 14, 3, 17, 28, 13, 4, 21, 31, 12
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OFFSET

0,19


COMMENTS

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


REFERENCES

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


LINKS

Nathaniel Johnston, Table of n, a(n) for n = 0..300 (full sequence)


MATHEMATICA

CoefficientList[Series[Product[1+x^(4i1), {i, 12}], {x, 0, 100}], x] (* Harvey P. Dale, Dec 24 2012 *)


CROSSREFS

Cf. A000700, A147599, A169975, A170956A170965.
Sequence in context: A170962 A170963 A170964 * A284316 A147599 A170969
Adjacent sequences: A170962 A170963 A170964 * A170966 A170967 A170968


KEYWORD

nonn,fini,full,easy


AUTHOR

N. J. A. Sloane, Aug 29 2010


STATUS

approved



