A008634 - OEIS

%I #27 Jul 27 2024 19:26:57

%S 1,1,2,3,5,7,11,15,22,30,42,56,76,99,131,169,219,278,355,445,560,695,

%T 863,1060,1303,1586,1930,2331,2812,3370,4035,4802,5708,6751,7972,9373,

%U 11004,12866,15021,17475,20298,23501,27169,31316,36043,41373,47420,54218,61903,70515,80215,91058,103226,116792,131970,148848

%N Molien series for A_11.

%D D. J. Benson, Polynomial Invariants of Finite Groups, Cambridge, 1993, p. 105.

%H <a href="/index/Mo#Molien">Index entries for Molien series</a>

%H <a href="/index/Rec#order_61">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1, 0, 0, 0, -1, -2, 0, 0, 0, 1, 2, 0, 1, 2, 0, -2, 0, -2, -3, -1, 0, -1, 1, 3, 0, 2, 3, 1, -1, 1, -1, -3, -2, 0, -3, -1, 1, 0, 1, 3, 2, 0, 2, 0, -2, -1, 0, -2, -1, 0, 0, 0, 2, 1, 0, 0, 0, -1, -1, 1).

%F G.f.: (1+x^55)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)*(1-x^11)).

%p gf:= (1+x^55)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4)/(1-x^5)/(1-x^6)/(1-x^7)/(1-x^8)/(1-x^9)/(1-x^10)/(1-x^11):

%p seq(coeff(series(gf, x, n+1), x, n), n=0..70);

%t CoefficientList[Series[(1+x^55)/Times@@(1-x^Range[11]),{x,0,60}],x] (* _Harvey P. Dale_, Jul 27 2024 *)

%Y Differs from A008640 at 55th term.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_.

%E Corrected by _Harvey P. Dale_, Jul 21 2024

%E a(55) restored by _Sean A. Irvine_, Jul 27 2024