A246577 G.f.: (Product_{r>=1} (1 - x^r))*x^(k^2)/Product_{i=1..k} ((1 - x^i)^2) with k=3.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 1, -1, -3, -7, -10, -13, -16, -18, -18, -18, -15, -11, -5, 2, 11, 20, 30, 39, 48, 55, 60, 63, 63, 59, 53, 43, 29, 14, -5, -26, -47, -69, -92, -111, -130, -146, -157, -164, -168, -163, -155, -141, -120, -94, -65, -28, 10, 51, 95

Offset

0,12

References

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.

Links

Table of n, a(n) for n=0..64.

Maple

fGL:=proc(k) local a, i, r;
a:=x^(k^2)/mul((1-x^i)^2, i=1..k);
a:=a*mul(1-x^r, r=1..101);
series(a, x, 101);
seriestolist(%);
end; fGL(3);

Crossrefs

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

Sequence in context: A322225 A381516 A110049 * A097032 A127661 A358617

Adjacent sequences: A246574 A246575 A246576 * A246578 A246579 A246580

Keyword

sign

Author

N. J. A. Sloane, Aug 31 2014

Status

approved