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Search: id:A028288
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| A028288 |
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Molien series for complex 4-dimensional Clifford group of order 92160 and genus 2. Also Molien series of ring of biweight enumerators of Type II self-dual binary codes. |
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+0
4
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| 1, 1, 1, 3, 4, 5, 8, 10, 12, 17, 21, 24, 31, 37, 42, 52, 60, 67, 80, 91, 101, 117, 131, 144, 164, 182, 198, 222, 244, 264, 293, 319, 343, 377, 408, 437, 476, 512, 546, 591, 633, 672, 723, 771, 816, 874, 928, 979, 1044, 1105, 1163, 1235, 1303, 1368
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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W. Duke, On codes and Siegel modular forms, Int. Math. Res. Notes 1993, No. 5, Theorem 2.
W. C. Huffman, The biweight enumerator of self-orthogonal binary codes, Discr. Math. Vol. 26 1979, pp. 129-143.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, Quantum error correction via codes over GF(4), IEEE Trans. Inform. Theory, 44 (1998), 1369-1387.
G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.
E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).
Index entries for Molien series
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FORMULA
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Expansion of (1+x^4)/((1-x)(1-x^3)^2(1-x^5)).
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CROSSREFS
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Cf. A008621, A008718, A024186, A039946, A051263.
Sequence in context: A087012 A047366 A117483 this_sequence A118250 A079136 A103329
Adjacent sequences: A028285 A028286 A028287 this_sequence A028289 A028290 A028291
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas
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