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A100023 Molien series for complete weight enumerators of Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector. 0
1, 2, 33, 415, 5198, 49274, 362191, 2127283, 10415371, 43855201, 162942160, 544750425, 1664602301, 4706957039, 12441105905, 30990626912, 73251661498, 165232613947, 357406368959, 744394713024, 1498152895495, 2922476743386, 5540491429760, 10232097731194 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..23.

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

Index entries for Molien series

FORMULA

G.f.: u1/u2 where u1 := f(t^4) + t^148*f(t^-4), u2 := (1-t^4)^2*(1-t^8)^9*(1-t^12)^3*(1-t^24)^2 and

f(t) = 1 + 21*t^2 + 348*t^3 + 4167*t^4 + 36071*t^5 + 229176*t^6 + 1098673*t^7 + 4151088*t^8 + 12776903*t^9 + 32923056*t^10 + 72635374*t^11 + 139845777*t^12 + 238772588*t^13+ 366395941*t^14+ 510689826*t^15+ 651563740*t^16+ 764743937*t^17+ 828011969*t^18.

CROSSREFS

Sequence in context: A093992 A294272 A231595 * A336969 A119300 A078262

Adjacent sequences:  A100020 A100021 A100022 * A100024 A100025 A100026

KEYWORD

nonn

AUTHOR

G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004

STATUS

approved

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Last modified September 25 15:49 EDT 2020. Contains 337344 sequences. (Running on oeis4.)