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A108096
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Coefficients of square root of theta series of D_4 (see A004011).
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2
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1, 12, -60, 768, -11004, 178200, -3093504, 56265216, -1058194428, 20410970124, -401553531000, 8026398749952, -162541338390528, 3327702330562584, -68761528402925568, 1432192515405350400, -30037109244686774268, 633790586271852392472, -13444940755220756447292, 286577646482211381212928
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Do these coefficients have a number-theoretic interpretation?
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LINKS
| 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
| 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 square root of this is 1 + 12*q^2 - 60*q^4 + 768*q^6 - 11004*q^8 + 178200*q^10 - 3093504*q^12 + ...
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CROSSREFS
| Cf. A004011, A108092.
Sequence in context: A012706 A012359 A012707 * A056388 A056378 A076504
Adjacent sequences: A108093 A108094 A108095 * A108097 A108098 A108099
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KEYWORD
| sign
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com) and Michael Somos, Jun 07 2005
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