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Search: id:A125555
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| A125555 |
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Theta series of 4-dimensional lattice S(7) with Gram matrix [ 3, 1, 0, -1; 1, 3, 1, 0; 0, 1, 3, 1; -1, 0, 1, 3 ]. |
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+0
1
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| 1, 0, 0, 8, 8, 8, 8, 0, 16, 16, 8, 16, 24, 24, 0, 32, 40, 16, 16, 24, 40, 8, 16, 32, 72, 48, 24, 48, 8, 48, 32, 48, 80, 64, 16, 8, 88, 48, 24, 64, 104, 48, 8, 48, 80, 104, 32, 80, 152, 0, 48, 112, 88, 64, 48, 96, 16, 112, 48, 88, 160, 72, 48, 16, 168, 112, 64, 96, 128, 128, 8, 96, 224
(list; graph; listen)
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OFFSET
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0,4
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LINKS
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John Cannon, Table of n, a(n) for n = 0..10000
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EXAMPLE
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1 + 8*q^3 + 8*q^4 + 8*q^5 + 8*q^6 + 16*q^8 + 16*q^9 + 8*q^10 + 16*q^11 + 24*q^12 + ...
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PROGRAM
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(MAGMA, from John Cannon) D := LatticeDatabase(); L := Lattice(D, 77); L:Magma;
LatticeWithBasis(4, \[ 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1 ], MatrixRing(IntegerRing(), 4) ! \[ 3, 1, 0, -1, 1, 3, 1, 0, 0, 1, 3, 1, -1, 0, 1, 3 ])
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CROSSREFS
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Sequence in context: A023412 A023413 A023414 this_sequence A010531 A031176 A010731
Adjacent sequences: A125552 A125553 A125554 this_sequence A125556 A125557 A125558
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 31 2007
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