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Search: id:A008446
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| A008446 |
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Theta series of A_6 lattice. |
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+0
1
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| 1, 42, 210, 350, 882, 1050, 1750, 2100, 3570, 3066, 5250, 5124, 7350, 7350, 10500, 8064, 14322, 12600, 15330, 15750, 22050, 16814, 25620, 22260, 29750, 25242, 36750, 28700, 44100, 35364, 40320, 42000, 57330, 42700, 63000, 50442, 64386, 57540, 78750, 56448
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 110.
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LINKS
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G. Nebe and N. J. A. Sloane, Home page for this lattice
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EXAMPLE
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1 + 42*q^2 + 210*q^4 + 350*q^6 + 882*q^8 + 1050*q^10 + 1750*q^12 + 2100*q^14 + 3570*q^16 + 3066*q^18 + 5250*q^20 + 5124*q^22 + 7350*q^24 + 7350*q^26 + 10500*q^28 + 8064*q^30 + 14322*q^32 + 12600*q^34 + 15330*q^36 + 15750*q^38 + 22050*q^40 + 16814*q^42 + 25620*q^44 + ...
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PROGRAM
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(MAGMA) L:=Lattice("A", 6); T1<q> := ThetaSeries(L, 120);
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CROSSREFS
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Adjacent sequences: A008443 A008444 A008445 this_sequence A008447 A008448 A008449
Sequence in context: A115130 A116871 A090198 this_sequence A122232 A116004 A122242
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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