A023938 Theta series of laminated lattice LAMBDA_15.

1, 0, 2340, 26880, 198510, 752640, 2777320, 6666240, 18056580, 34222080, 76790952, 126124800, 251743800, 373201920, 684788880, 946636800, 1632682350, 2136207360, 3505616460, 4398078720, 6969644136, 8433039360, 12913865640, 15239485440, 22786814120

Offset

0,3

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

Prog

(Magma)
L := Lattice("Lambda", 15);
B := Basis(ThetaSeriesModularFormSpace(L), 20);
Coefficients(B[1]+2340*B[3] +26880*B[4]+198510*B[5]+752640*B[6]+2777320*B[7]+6666240*B[8]+18056580*B[9]+34222080*B[10]+76790952*B[11]+126124800*B[12]+251743800*B[13]+373201920*B[14]+684788880*B[15]+946636800*B[16]); // Andy Huchala, Jun 16 2021

Crossrefs

Sequence in context: A205021 A207296 A043440 * A132204 A181129 A064868

Adjacent sequences: A023935 A023936 A023937 * A023939 A023940 A023941

Keyword

nonn

Author

N. J. A. Sloane

Status

approved