A170958 Expansion of Product_{i=1..m} (1 + x^(4*i-1)) for m = 5.

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

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..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