id:A092496 - OEIS Search Results

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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).

+0
2

1, 5, 31, 160, 706, 2716, 9331, 28981, 82771, 219806, 548068, 1293146, 2906218, 6254416, 12948238, 25885894, 50139094, 94358704, 172962834, 309473934, 541528218, 928266020, 1561085648, 2579068700, 4190837573, 6705148385, 10573260725, 16446987970, 25257491270 (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 f := 1 + 10x^2 + 40x^3 + 90x^4 + 180x^5 + 340x^6 + 420x^7 + 215x^8; u1 := f+x^16subs(x=1/x, f); u2 := (1-x)^5(1-x^2)^6(1-x^3)^5;`
	CROSSREFS	`Cf. A092497.` `Sequence in context: A005826 A047109 A165610 this_sequence A045904 A034353 A078526` `Adjacent sequences: A092493 A092494 A092495 this_sequence A092497 A092498 A092499`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Apr 05 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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