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A092497
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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
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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
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..30.
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
Index entries for Molien series
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FORMULA
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G.f. = u1/u2, where f := 1 + 4*x^3 + 34*x^4 + 88*x^5 + 237*x^6 + 516*x^7 + 1161*x^8 + 2176*x^9 + 3726*x^10 + 5478*x^11 + 7524*x^12 + 9296*x^13 + 10805*x^14 + 5610 *x^15; u1 := f+x^30*subs(x=1/x, f); u2 := (1-x)*(1-x^2)^4*(1-x^3)^7*(1-x^4)^4.
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CROSSREFS
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Cf. A092496.
Sequence in context: A180719 A197549 A034532 * A026525 A007043 A128242
Adjacent sequences: A092494 A092495 A092496 * A092498 A092499 A092500
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Apr 05 2004
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STATUS
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approved
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