

A030443


Nonzero coefficients in theta series of {E_7}* lattice.


1



1, 56, 126, 576, 756, 1512, 2072, 4032, 4158, 5544, 7560, 12096, 11592, 13664, 16704, 24192, 24948, 27216, 31878, 44352, 39816, 41832, 55944
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OFFSET

0,2


COMMENTS

In the Eichler and Zagier reference this is e_4(A014601(n)), n >= 0, (p. 141), where e_4 is obtained from e_{4,1}(n,r), eq. (7), p. 22, depending only on 4*nr^2 >= 0 (for integers n and r), i.e. on A014601(n), n >= 0 (with a new notation for n).  Wolfdieter Lang, Jan 08 2016


REFERENCES

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", SpringerVerlag, p. 125.
M. Eichler and D. Zagier, The Theory of Jacobi Forms, BirkhĂ¤user, 1985, p. 141.


LINKS

Table of n, a(n) for n=0..22.
N. Elkies and B. H. Gross, Embeddings into the integral octonions, Olga TausskyTodd: in memoriam, Pacific J. Math. 1997, Special Issue, 147158.


CROSSREFS

Cf. A003781.
Sequence in context: A003781 A286980 A254463 * A135803 A048452 A253418
Adjacent sequences: A030440 A030441 A030442 * A030444 A030445 A030446


KEYWORD

nonn


AUTHOR

N. J. A. Sloane.


STATUS

approved



