id:A099752 - OEIS Search Results

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Molien series for symmetrized weight enumerators of doubly-even Euclidean self-dual codes over the Galois ring GR(4,2).

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1, 2, 8, 32, 119, 438, 1483, 4463, 12121, 30047, 68783, 147178, 297234, 570865, 1049605, 1857388, 3177426, 5274519, 8523168, 13442921, 20742950, 31376270, 46605818, 68084760, 97952005, 138945430, 194536354, 269086136, 368028405, 498081190, 667490215, 886307575 (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 := f(t^4), u2 := (1-t^4)^2(1-t^8)^3(1-t^12)^3(1-t^20)^2 and` `f(t) = 1 + 2t^2 + 15t^3 + 51t^4 + 170t^5 + 500t^6 + 1136t^7 + 2126t^8 + 3439t^9 + 4822t^10 + 5908t^11 + 6473t^12 + 6325t^13 + 5437t^14 + 4124t^15 + 2764t^16 + 1596t^17 + 764t^18 + 305t^19 + 95t^20 + 20t^21 + 5t^22 + 2*t^23.`
	CROSSREFS	`Sequence in context: A052481 A067897 A145682 this_sequence A081294 A004171 A009117` `Adjacent sequences: A099749 A099750 A099751 this_sequence A099753 A099754 A099755`
	KEYWORD	`nonn`
	AUTHOR	`G. Nebe (nebe(AT)math.rwth-aachen.de), Nov 10, 2004`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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