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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 (list; graph; refs; listen; history; text; internal format)
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*n-r^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", Springer-Verlag, p. 125.

M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhäuser, 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 Taussky-Todd: in memoriam, Pacific J. Math. 1997, Special Issue, 147-158.

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

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Last modified January 18 11:21 EST 2019. Contains 319271 sequences. (Running on oeis4.)