OFFSET
0,5
REFERENCES
A. Adem and R. J. Milgram, Cohomology of Finite Groups, Springer-Verlag, 2nd. ed., 2004, p. 202.
LINKS
N. J. A. Sloane, Table of n, a(n) for n = 0..7000
Index entries for linear recurrences with constant coefficients, signature (2,0,-1,-1,0,3,-3,1,0,-1,1,1,0,-3,1,4,-2,-3,2,0,0,0, 2,-3,-2,4,1,-3,0,1,1,-1,0,1,-3,3,0,-1,-1,0,2,-1).
FORMULA
G.f.: (x^30 + x^25 + x^23 + x^22 + x^21 + 2*x^20 + x^19 + x^18 + x^17 + x^16 + 2*x^15 + x^14 + x^13 + x^12 + x^11 + 2*x^10 + x^9 + x^8 + x^7 + x^5 + 1) / ((1 - x^2)*(1 - x^3)*(1 - x^4)*(1 - x^6)^2*(1 - x^8)*(1 - x^9)*(1 - x^12)).
MAPLE
seq(coeff(series((1 +x^7 +x^8 +x^9 +x^10 +x^11 -x^24 -x^25 -x^26 -x^27 -x^28 -x^35)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^8)*(1-x^9)*(1-x^12)), x, n+1), x, n), n = 0..70); # G. C. Greubel, Jan 31 2020
MATHEMATICA
CoefficientList[Series[(1 +x^7 +x^8 +x^9 +x^10 +x^11 -x^24 -x^25 -x^26 -x^27 -x^28 -x^35)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^8)*(1-x^9)*(1-x^12)), {x, 0, 70}], x] (* G. C. Greubel, Jan 31 2020 *)
PROG
(PARI) my(x='x+O('x^70)); Vec((1 +x^7 +x^8 +x^9 +x^10 +x^11 -x^24 -x^25 -x^26 -x^27 -x^28 -x^35)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^8)*(1-x^9)*(1-x^12))) \\ G. C. Greubel, Jan 31 2020
(Magma) R<x>:=PowerSeriesRing(Integers(), 70); Coefficients(R!( (1 +x^7 +x^8 +x^9 +x^10 +x^11 -x^24 -x^25 -x^26 -x^27 -x^28 -x^35)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^8)*(1-x^9)*(1-x^12)) )); // G. C. Greubel, Jan 31 2020
(Sage)
def A091434_list(prec):
P.<x> = PowerSeriesRing(ZZ, prec)
return P( (1 +x^7 +x^8 +x^9 +x^10 +x^11 -x^24 -x^25 -x^26 -x^27 -x^28 -x^35)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)^2*(1-x^8)*(1-x^9)*(1-x^12)) ).list()
A091434_list(70) # G. C. Greubel, Jan 31 2020
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Mar 17 2004
EXTENSIONS
G.f. and data corrected by N. J. A. Sloane, Jan 05 2017
STATUS
approved