A034654 Theta series of (putative) extremal 3-modular even lattice in dimension 88.

1, 0, 0, 0, 0, 0, 0, 0, 51816632472, 7438669049856, 695402256333312, 41879188369944576, 1765583571139933248, 55165173533877952512, 1335381675709393635840, 25943230015472160129024, 416158912475184109130856

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)^44 - 264*t(x)^38*d(x) + 24552*t(x)^32*d(x)^2 - 957792*t(x)^26*d(x)^3 + 14584680*t(x)^20*d(x)^4 - 65159424*t(x)^14*d(x)^5 + 42600096*t(x)^8*d(x)^6 - 149897088*t(x)^2*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: A084482 A216019 A303585 * A233553 A273928 A344196

Adjacent sequences: A034651 A034652 A034653 * A034655 A034656 A034657

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved