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Molien series for 16-dimensional group of structure S_3 and order 6, corresponding to complete weight enumerators of Hermitian self-dual GF(4)-linear codes over GF(16) containing the all-ones vector.

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1, 1, 5, 16, 64, 196, 661, 1921, 5431, 14106, 35006, 81858, 183616, 393568, 813916, 1624114, 3143974, 5910904, 10831414, 19369614, 33887006, 58069748, 97645340, 161289668, 262066349, 419245385, 661069025, 1028234130, 1578996010, 2395570650, 3593235173 (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 f := 1 + 4x^3 + 34x^4 + 88x^5 + 237x^6 + 516x^7 + 1161x^8 + 2176x^9 + 3726x^10 + 5478x^11 + 7524x^12 + 9296x^13 + 10805x^14 + 5610 x^15; u1 := f+x^30subs(x=1/x, f); u2 := (1-x)(1-x^2)^4(1-x^3)^7*(1-x^4)^4.`
	CROSSREFS	`Cf. A092496.` `Sequence in context: A077235 A098347 A034532 this_sequence A026525 A007043 A128242` `Adjacent sequences: A092494 A092495 A092496 this_sequence A092498 A092499 A092500`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2004`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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