A034657 Theta series of (putative) extremal 3-modular even lattice in dimension 94.

1, 0, 0, 0, 0, 0, 0, 0, 13010909796, 2864339387904, 364314977047296, 29214578762067456, 1599088876248282336, 63522667754837932032, 1920544044014828761344, 45891532024536021967872, 893416225137812436117042

Offset

0,9

Links

Table of n, a(n) for n=0..16.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

Formula

G.f.: t(x)^47 - 282*t(x)^41*d(x) + 28764*t(x)^35*d(x)^2 - 1287048*t(x)^29*d(x)^3 + 24416406*t(x)^23*d(x)^4 - 160924428*t(x)^17*d(x)^5 + 231479136*t(x)^11*d(x)^6 - 50110272*t(x)^5*d(x)^7 where t(x) is the g.f. for A004016 and d(x) is the g.f. for A007332. - Sean A. Irvine, Oct 25 2025

Crossrefs

Sequence in context: A377457 A329417 A216866 * A204096 A113639 A059122

Adjacent sequences: A034654 A034655 A034656 * A034658 A034659 A034660

Keyword

nonn

Author

N. J. A. Sloane

Status

approved