id:A092201 - OEIS Search Results

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Molien series for 16-dimensional group of structure O_{4}^{+}(2) and order 72, corresponding to genus 2 complete weight enumerators of Hermitian self-dual GF(2)-linear codes over GF(4).

+0
2

1, 3, 11, 38, 127, 396, 1179, 3297, 8746, 22002, 52730, 120770, 265416, 561440, 1146924, 2268970, 4358413, 8147638, 14854450, 26461264, 46135068, 78845138, 132262964, 218050742, 353688548, 565028243, 889832807, 1382620648, 2121243721, 3215727006 (list; graph; listen)

	OFFSET	`0,2`
	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 := f0 + x^30subs(x=x^(-1), f0); f0 := 1 + 10x^3 + 25x^4 + 53x^5 + 121x^6 + 247x^7 + 471x^8 + 803x^9 + 1201x^10 + 1674x^11 + 2182x^12 + 2616x^13 + 2911x^14 + 1509x^15; u2 := (1-x)^3(1-x^2)^5(1-x^3)^3(1-x^4)^3(1-x^6)^2.`
	CROSSREFS	`Cf. A092203.` `Sequence in context: A129962 A026361 A006189 this_sequence A026943 A047096 A149060` `Adjacent sequences: A092198 A092199 A092200 this_sequence A092202 A092203 A092204`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Apr 02 2004`

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.

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