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Molien series for complete weight enumerators of trace-additive Hermitian self-dual codes over the Galois ring GR(4,2) that contain the all-ones vector.

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1, 1, 7, 21, 92, 291, 981, 2871, 8134, 21131, 52481, 122759, 275356, 590289, 1220811, 2436045, 4715827, 8866230, 16246890, 29054190, 50830264, 87104226, 146467614, 241934106, 393098860, 628867434, 991602894, 1542350194, 2368492984, 3593354974 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`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) + t^(-41)f(1/t), u2 := (1-t)(1-t^2)^6(1-t^4)^7(1-t^8)^2 and` `f(t) := 1 + 14t^3 + 43t^4 + 115t^5 + 334t^6 + 808t^7 + 1752t^8 + 3557t^9 + 6448t^10 + 10800t^11 + 17020t^12 + 24972t^13 + 34704t^14 + 45824t^15 + 57298t^16 + 68464t^17 + 78120t^18 + 85092t^19 + 88922*t^20.`
	CROSSREFS	`Sequence in context: A092785 A114902 A164544 this_sequence A121157 A038184 A001185` `Adjacent sequences: A100022 A100023 A100024 this_sequence A100026 A100027 A100028`
	KEYWORD	`nonn`
	AUTHOR	`G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004`

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Last modified November 22 20:51 EST 2009. Contains 167312 sequences.

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