OFFSET
0,3
REFERENCES
D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 105.
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,2,-1,-2,0,1,-1,0,2,1,-2,-1,1).
FORMULA
a(n) ~ 1/1440*n^4 + 1/144*n^3. - Ralf Stephan, Apr 29 2014
G.f.: ( -1+x^2-x^4+x^6-x^8 ) / ( (1+x+x^2)*(1+x+x^2+x^3+x^4)*(1+x)^2*(x-1)^5 ). - R. J. Mathar, Dec 18 2014
MAPLE
(1+x^10)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5): seq(coeff(series(%, x, n+1), x, n), n=0..60);
MATHEMATICA
LinearRecurrence[{1, 2, -1, -2, 0, 1, -1, 0, 2, 1, -2, -1, 1}, {1, 1, 2, 3, 5, 7, 10, 13, 18, 23, 31, 38, 49}, 52] (* Ray Chandler, Jul 15 2015 *)
PROG
(Sage)
ring = PowerSeriesRing(ZZ, 'x', default_prec=50)
ms = AlternatingGroup(5).molien_series()
list(ring(ms))
# Ralf Stephan, Apr 29 2014
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved