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Search: id:A078411
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| A078411 |
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Expansion of Molien series for certain 4-D group of order 48. |
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+0
2
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| 1, 1, 3, 5, 10, 14, 23, 31, 46, 59, 80, 100, 130, 157, 196, 233, 283, 330, 392, 451, 527, 599, 689, 776, 883, 985, 1109, 1229, 1372, 1510, 1673, 1831, 2016, 2195, 2402, 2604, 2836, 3061, 3318, 3569, 3853, 4130, 4442, 4747, 5089, 5423, 5795, 6160, 6565, 6961, 7399
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Index entries for Molien series
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FORMULA
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G.f.: (x^16+x^12+x^10+2*x^8+x^6+x^4+1)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)).
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EXAMPLE
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1 + x^2 + 3*x^4 + 5*x^6 + 10*x^8 + 14*x^10 + 23*x^12 + 31*x^14 + 46*x^16 + ...
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PROGRAM
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(MAGMA) // Definition of group: F<al> := CyclotomicField(24); M := GeneralLinearGroup(4, F);
B1 := M![ -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 0, 0, -1 ]; C1 := M![1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0 ];
C2 := M![0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 1, 0, 0, 0 ]; G := sub<M | B1, C1, C2 >;
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CROSSREFS
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Subgroup of the group in A078404.
Sequence in context: A048214 A001841 A008610 this_sequence A137630 A092269 A089483
Adjacent sequences: A078408 A078409 A078410 this_sequence A078412 A078413 A078414
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Dec 27 2002
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