The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A246576 G.f.: (Product_{r>=1} (1 - x^r))*x^(k^2)/Product_{i=1..k} ((1 - x^i)^2) with k=2. 1

%I #8 Oct 13 2017 21:37:17

%S 0,0,0,0,1,1,2,1,1,-1,-2,-4,-5,-6,-6,-5,-4,-1,1,5,7,11,12,15,14,15,12,

%T 11,6,3,-3,-7,-13,-17,-22,-25,-28,-29,-29,-28,-25,-22,-16,-11,-3,3,12,

%U 18,27,32,40,43,49,49,52,49,49,43,40,31,25,14,6,-6,-15,-27,-36,-47,-55,-64

%N G.f.: (Product_{r>=1} (1 - x^r))*x^(k^2)/Product_{i=1..k} ((1 - x^i)^2) with k=2.

%D Fulman, Jason. Random matrix theory over finite fields. Bull. Amer. Math. Soc. (N.S.) 39 (2002), no. 1, 51--85. MR1864086 (2002i:60012). See top of page 70.

%p fGL:=proc(k) local a,i,r;

%p a:=x^(k^2)/mul((1-x^i)^2,i=1..k);

%p a:=a*mul(1-x^r,r=1..101);

%p series(a,x,101);

%p seriestolist(%);

%p end;fGL(2);

%Y k=0 gives A010815. Cf. A246575-A246578.

%K sign

%O 0,7

%A _N. J. A. Sloane_, Aug 31 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 9 23:53 EDT 2024. Contains 375765 sequences. (Running on oeis4.)