A008623 Molien series of 4-dimensional representation of SL(2,7).

1, 0, 1, 1, 3, 2, 5, 5, 9, 9, 14, 15, 22, 23, 32, 34, 45, 48, 61, 65, 81, 87, 104, 112, 133, 142, 165, 177, 204, 217, 247, 263, 297, 315, 352, 374, 415, 439, 484, 512, 561, 592, 646, 680, 739, 777, 840, 882

Offset

0,5

Links

Table of n, a(n) for n=0..47.

C. L. Mallows and N. J. A. Sloane, On invariants of a linear group of order 336, Math. Proc. Camb Phil Soc., 74 (1973), 435-439.

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (0,1,1,1,-1,-1,0,0,0,-1,-1,1,1,1,0,-1).

Formula

G.f.: (x^14 + x^10 + x^9 + x^8 + x^6 + x^5 + x^4 + 1) / ((1-x^2)*(1-x^3)*(1-x^4)*(1-x^7)). - Colin Barker, Jan 08 2014

a(n) ~ 1/126*n^3. - Ralf Stephan, Apr 29 2014

Maple

(x^28+x^20+x^18+x^16+x^12+x^10+x^8+1)/(1-x^4)/(1-x^6)/(1-x^8)/(1-x^14);

Prog

(PARI) Vec((x^14+x^10+x^9+x^8+x^6+x^5+x^4+1)/((1-x^2)*(1-x^3)*(1-x^4)*(1-x^7)) + O(x^100)) \\ Colin Barker, Jan 08 2014

Crossrefs

Sequence in context: A141732 A325695 A186545 * A035546 A339406 A182714

Adjacent sequences: A008620 A008621 A008622 * A008624 A008625 A008626

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved