A127790 G.f.: (2*x+4*x^2+4*x^3+4*x^4+2*x^5)/((1-x)^2*(1-x^2)^3*(1-x^3)^4*(1-x^4)).

0, 2, 8, 24, 64, 148, 312, 620, 1160, 2070, 3560, 5912, 9528, 14974, 22984, 34548, 50984, 73958, 105624, 148744, 206728, 283854, 385448, 517964, 689304, 909088, 1188784, 1542168, 1985704, 2538754, 3224208, 4069016, 5104496, 6367188, 7899568, 9750496

Offset

0,2

References

B. Broer, Hilbert series for modules of covariants, in Algebraic Groups and Their Generalizations..., Proc. Sympos. Pure Math., 56 (1994), Part I, 321-331.

Links

Peter J. C. Moses, Table of n, a(n) for n = 0..9999

Index entries for linear recurrences with constant coefficients, signature (4,-4,0,-6,12,6,-12,-9,-4,28,-4,-9,-12,6,12,-6,0,-4,4,-1).

Formula

G.f.: 2*x / ((x-1)^10*(x+1)^2*(x^2+x+1)^4). - Colin Barker, Jul 27 2013

Mathematica

CoefficientList[Series[(2x+4x^2+4x^3+4x^4+2x^5)/((1-x)^2(1-x^2)^3(1-x^3)^4 (1-x^4)), {x, 0, 40}], x] (* Harvey P. Dale, Apr 10 2019 *)

Crossrefs

Sequence in context: A234933 A222808 A075216 * A006730 A131135 A292218

Adjacent sequences: A127787 A127788 A127789 * A127791 A127792 A127793

Keyword

nonn,easy

Author

N. J. A. Sloane, Apr 07 2007

Status

approved