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A023922
Theta series of A*_10 lattice.
0
1, 0, 0, 0, 0, 22, 0, 0, 0, 110, 0, 110, 330, 0, 660, 924, 990, 0, 0, 0, 2662, 0, 1980, 4840, 0, 6534, 7260, 9460, 0, 0, 0, 15840, 0, 10230, 21780, 0, 27830, 32670, 33660, 0, 0, 0, 50820, 0, 30140, 71236, 0, 84700, 87120, 99000, 0, 0, 0, 136840, 0
OFFSET
0,6
REFERENCES
J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.
LINKS
G. Nebe and N. J. A. Sloane, Home page for this lattice
K. Ono, On the Circular Summation of the Eleventh Powers of Ramanujan's Theta Function, Journal of Number Theory, Volume 76, Issue 1, May 1999, Pages 62-65.
FORMULA
G.f.: eta^11(q)/eta(q^11) + 800*q^5*eta^11(q^11)/eta(11) - 9*P11(q)*eta^11(q) + (308/3)*A(q) + (22/3)*B(q), where P11(q) is the g.f. for A213256, A(q) is the g.f. for A065103, B(q) is the g.f. for A065099, and eta is the Dedekind eta function [from Ono]. - Sean A. Irvine, Jun 16 2019
EXAMPLE
G.f. = 1 + 22*q^5 + 110*q^9 + 110*q^11 + 330*q^12 + ... - Sean A. Irvine, Jun 16 2019
CROSSREFS
Sequence in context: A062012 A104786 A104787 * A022064 A225343 A252670
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Jun 16 2019
STATUS
approved