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A055379 16*a(n) gives theta series of the shadow of the 24-dimensional odd Leech lattice. +0
1
3, 12216, 1049332, 24866496, 289421466, 2150562080, 11720932296, 50917793280, 186017041471, 592764490128, 1691223619836, 4404312868096, 10623285300642, 24004367672640, 51272935258008, 104280162643968, 203151521341206 (list; graph; listen)
OFFSET

1,1

REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag.

LINKS

G. Nebe and N. J. A. Sloane, Home page for odd Leech lattice

E. M. Rains and N. J. A. Sloane, The Shadow Theory of Modular and Unimodular Lattices, J. Number Theory, 73 (1998), 359-389.

FORMULA

[theta2(z)^24+3*theta4(2z)^8*theta2(z)^16+3*theta4(2z)^16*theta2(z)^8/16]/16

CROSSREFS

A027859.

Sequence in context: A062595 A128147 A068918 this_sequence A047777 A124393 A116182

Adjacent sequences: A055376 A055377 A055378 this_sequence A055380 A055381 A055382

KEYWORD

nonn

AUTHOR

Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jun 22 2000

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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