A028249 - OEIS

A028249

Molien series for complete weight enumerator of self-dual code over GF(4) containing 1^n.

1, 1, 1, 2, 3, 3, 6, 7, 8, 11, 14, 15, 21, 24, 27, 33, 39, 42, 52, 58, 64, 74, 84, 90, 105, 115, 125, 140, 155, 165, 186, 201, 216, 237, 258, 273, 301, 322, 343, 371, 399, 420, 456, 484, 512, 548, 584, 612, 657, 693

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,4

LINKS

Table of n, a(n) for n=0..49.

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).

Index entries for Molien series

Index entries for linear recurrences with constant coefficients, signature (1,1,0,-1,-1,2,-1,-1,0,1,1,-1)

FORMULA

G.f.: (1+x^6)/((1-x)*(1-x^3)*(1-x^4)*(1-x^6)). - Ralf Stephan, Apr 29 2014

a(n) ~ 1/216*n^3. - Ralf Stephan, Apr 29 2014

G.f.: ( 1-x^2+x^4 ) / ( (1-x+x^2)*(1+x)^2*(1+x+x^2)^2*(x-1)^4 ). - R. J. Mathar, Dec 18 2014

MAPLE

(1+x^12)/((1-x^2)*(1-x^6)*(1-x^8)*(1-x^12));

CROSSREFS

Sequence in context: A025499 A022474 A194189 * A121833 A091606 A027037

Adjacent sequences: A028246 A028247 A028248 * A028250 A028251 A028252

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved