OFFSET
0,5
COMMENTS
Poincare series for invariant polynomial functions on the space of binary forms of degree 6.
REFERENCES
Howe, Roger. "The Classical Groups" and invariants of binary forms, in The Mathematical Heritage of Hermann Weyl, Proc. Sympos. Pure Math., Amer. Math. Soc., Vol. 48 (1988): 133-166. See p. 164.
Sylvester, James Joseph, and Fabian Franklin. "Tables of the generating functions and groundforms for the binary quantics of the first ten orders." American Journal of Mathematics 2.3 (1879): 223-251.
Sylvester, James Joseph. "Tables of the generating functions and groundforms of the binary duodecimic, with some general remarks, and tables of the irreducible syzygies of certain quantics." American Journal of Mathematics 4.1 (1881): 41-61.
LINKS
Andries Brouwer, Poincaré Series (See n=6).
J.-I. Igusa, Modular forms and projective invariants, Amer. J. Math., 89 (1967), 817-855; see p. 847.
R. P. Stanley, F. Zanello, Some asymptotic results on q-binomial coefficients, 2014.
Index entries for linear recurrences with constant coefficients, signature (-1,1,2,2,1,-1,-3,-3,-1,1,2,2,1,-1,-1).
MATHEMATICA
CoefficientList[Series[(1+x^15)/((1-x^2)(1-x^4)(1-x^6)(1-x^10)), {x, 0, 100}], x] (* Harvey P. Dale, Sep 29 2018 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Sep 01 2004
STATUS
approved