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Search: id:A108092
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| A108092 |
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Coefficients of series whose 4th power is the theta series of D_4 (see A004011). |
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3
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| 1, 6, -48, 672, -10686, 185472, -3398304, 64606080, -1261584768, 25141699590, -509112525600, 10443131883360, -216500232587520, 4528450460408448, -95438941858567104, 2024550297637849728, -43190698219545864702, 925997705081213764608, -19940633776083900614736, 431091393800371703940576
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane, Seven Staggering Sequences, in Homage to a Pied Puzzler, E. Pegg Jr., A. H. Schoen and T. Rodgers (editors), A. K. Peters, Wellesley, MA, 2009, pp. 93-110.
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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 D_4 begins 1 + 24*q^2 + 24*q^4 + 96*q^6 + 24*q^8 + 144*q^10 + 96*q^12 + ... and the 4th root of it is 1 + 6*q^2 - 48*q^4 + 672*q^6 - 10686*q^8 + 185472*q^10 - 3398304*q^12 + ...
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CROSSREFS
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Cf. A004011, A108096.
Sequence in context: A113388 A113393 A138426 this_sequence A052744 A084259 A028308
Adjacent sequences: A108089 A108090 A108091 this_sequence A108093 A108094 A108095
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com) and Michael Somos, Jun 06 2005
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