A023945 Theta series of laminated lattice LAMBDA_23.

1, 0, 93150, 6476800, 133204500, 1384998912, 9403968600, 47406643200, 192825064350, 663509299200, 2007834672456, 5456580940800, 13618454702600, 31528851609600, 68717357121600, 141663767066624, 279245882826900, 527244094771200, 961802512637350

Offset

0,3

Comments

Theta series of the 23-dimensional sublattice of the Leech lattice orthogonal to any norm 4 vector

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p. 174.

Links

Andy Huchala, Table of n, a(n) for n = 0..20000

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

Prog

(Magma)
L := Lattice("Lambda", 23);
B := Basis(ThetaSeriesModularFormSpace(L), 20);
S := [1, 0, 93150, 6476800, 133204500, 1384998912, 9403968600, 47406643200, 192825064350, 663509299200, 2007834672456, 5456580940800];
Coefficients(&+[B[i] * S[i] : i in [1..12]]); // Andy Huchala, Jun 29 2021

Crossrefs

Sequence in context: A331361 A128277 A237682 * A203784 A206683 A234215

Adjacent sequences: A023942 A023943 A023944 * A023946 A023947 A023948

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Sep 06 2001

a(17) - a(18) from Andy Huchala, Jun 29 2021

Status

approved