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Search: id:A108093
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| A108093 |
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Coefficients of series whose 24-th power is the theta series of the Leech lattice (see A008408). |
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+0
3
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| 1, 0, 8190, 698880, -754790400, -131455134720, 90235527782400, 25034722952279040, -11631379080860106750, -4740180695347850188800, 1500620323887236434821120, 888527739621938585682240000, -181995668700704689414022799360, -164466129435036361896228722795520
(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.
N. J. A. Sloane, Seven Staggering Sequences.
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EXAMPLE
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More precisely, the theta series of the Leech lattice (A008408) begins 1 + 196560*q^4 + 16773120*q^6 + 398034000*q^8 + 4629381120*q^10 + ..., and the 24-th root of this is 1 + 8190*q^4 + 698880*q^6 - 754790400*q^8 - 131455134720*q^10 + ...
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CROSSREFS
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Sequence in context: A126823 A014885 A137385 this_sequence A051334 A145592 A103902
Adjacent sequences: A108090 A108091 A108092 this_sequence A108094 A108095 A108096
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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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