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A028996
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Theta series of quadratic form with Gram matrix [ 4, 1, 0, 2; 1, 4, 2, 0; 0, 2, 4, -1; 2, 0, -1, 4 ].
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2
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1, 0, 12, 12, 12, 12, 24, 24, 36, 36, 48, 0, 72, 24, 48, 60, 84, 48, 84, 48, 96, 72, 12, 60, 144, 84, 120, 84, 144, 72, 168, 60, 132, 12, 120, 120, 228, 84, 144, 144, 216, 120, 240, 120, 12, 192, 168, 96, 288, 144, 204, 168, 216, 144, 312, 12, 288, 192, 216, 132, 408, 120, 264
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Also the coefficients of the first basis series f := Basis(ModularForms(Gamma0(11),2))[1]. in MAGMA; the coefficients of the second basis series are given in A006571. - Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 01 2007
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LINKS
| John Cannon, Table of n, a(n) for n = 0..5000
G. Nebe and N. J. A. Sloane, Home page for this lattice
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EXAMPLE
| 1 + 12*q^4 + 12*q^6 + 12*q^8 + 12*q^10 + 24*q^12 + 24*q^14 + 36*q^16 + 36*q^18 + ...
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PROG
| (MAGMA) T := ThetaSeries(Lattice(LatticeDatabase(), "QQF.4.b"), 120) ; [ Coefficient(T, n) : n in [ k : k in [0..120] | IsEven(k) ] ] ; /* Klaus Brockhaus, Feb 01 2007 */
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CROSSREFS
| Sequence in context: A123896 A122878 A064162 * A113595 A109053 A186100
Adjacent sequences: A028993 A028994 A028995 * A028997 A028998 A028999
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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