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Search: id:A108094
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| A108094 |
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Coefficients of series whose 16-th power is the theta series of the 16-dimensional Barnes-Wall lattice (see A008409). |
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1
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| 1, 0, 270, 3840, -514080, -15413760, 1283087040, 62644907520, -3378279124350, -252933976704000, 8502815843769600, 1007506223570707200, -17757117956815481280, -3942183666885514421760, 14527133705347401150720, 15088544258811557869278720, 144818514010649047069497600
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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N. Heninger, E. M. Rains and N. J. A. Sloane, On the Integrality of n-th Roots of Generating Functions, J. Combinatorial Theory, Series A, 113 (2006), 1732-1745.
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EXAMPLE
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More precisely, the theta series of the Barnes-Wall lattice begins 1 + 4320*q^2 + 61440*q^3 + 522720*q^4 + 2211840*q^5 + 8960640*q^6 + 23224320*q^7 + ..., and the 16-th root of this is 1 + 270*q^2 + 3840*q^3 - 514080*q^4 - 15413760*q^5 + 1283087040*q^6 + 62644907520*q^7 - ...
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CROSSREFS
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Sequence in context: A028529 A109025 A028535 this_sequence A104844 A086003 A048295
Adjacent sequences: A108091 A108092 A108093 this_sequence A108095 A108096 A108097
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KEYWORD
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sign
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AUTHOR
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njas and Michael Somos, Jun 06 2005
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