A023922 - OEIS

%I #10 Jun 16 2019 22:30:56

%S 1,0,0,0,0,22,0,0,0,110,0,110,330,0,660,924,990,0,0,0,2662,0,1980,

%T 4840,0,6534,7260,9460,0,0,0,15840,0,10230,21780,0,27830,32670,33660,

%U 0,0,0,50820,0,30140,71236,0,84700,87120,99000,0,0,0,136840,0

%N Theta series of A*_10 lattice.

%D J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 114.

%H G. Nebe and N. J. A. Sloane, <a href="http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/As10.html">Home page for this lattice</a>

%H K. Ono, <a href="https://doi.org/10.1006/jnth.1998.2354">On the Circular Summation of the Eleventh Powers of Ramanujan's Theta Function</a>, Journal of Number Theory, Volume 76, Issue 1, May 1999, Pages 62-65.

%F 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

%e G.f. = 1 + 22*q^5 + 110*q^9 + 110*q^11 + 330*q^12 + ... - _Sean A. Irvine_, Jun 16 2019

%K nonn

%O 0,6

%A _N. J. A. Sloane_.

%E More terms from _Sean A. Irvine_, Jun 16 2019