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Search: id:A051354
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| A051354 |
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Expansion of Molien series for 16-dimensional complex Clifford group of genus 4 and order 97029351014400. |
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+0
4
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| 1, 1, 2, 7, 19, 52, 172, 550, 1782, 5845, 18508, 56345, 164157, 454518, 1196924, 3003750, 7198311, 16523847, 36447873, 77478005, 159172517, 316874035, 612729396, 1153359711, 2117566545, 3798941401, 6670327291, 11479693332
(list; graph; listen)
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OFFSET
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0,3
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REFERENCES
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M. Oura (ohura(AT)math.kyushu-u.ac.jp), The dimension formula for the ring of code polynomials in genus 4, Osaka J. Math. 34 (1997), 53-72.
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LINKS
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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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Oura gives an explicit formula for the Molien series that produces A027672; the present sequence is the subsequence formed from the terms whose exponents are multiples of 8 (that is, every other term of A027672). In other words, the present Molien series is (f(x)+f(z*x))/2, where z = exp(2*Pi*I/8) and f(x) is the Molien series for the group H_4 given explicitly by Oura in Theorem 4.1.
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EXAMPLE
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1 + t^8 + 2*t^16 + 7*t^24 + 19*t^32 + 52*t^40 + 172*t^48 + ...
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CROSSREFS
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Cf. A027672, A003956, A008621, A008718, A024186, A008620, A028288, A043330.
Sequence in context: A006589 A099484 A018030 this_sequence A073799 A040016 A145519
Adjacent sequences: A051351 A051352 A051353 this_sequence A051355 A051356 A051357
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KEYWORD
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nonn,easy,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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