A034653 Theta series of (putative) extremal 3-modular even lattice in dimension 86.

1, 0, 0, 0, 0, 0, 0, 0, 79328599020, 9721727473920, 825278983157376, 45122198826343680, 1744057022573416320, 50300436085175485440, 1130644470268612379520, 20501336085290555844096, 308310554174018712009210

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)^43 - 258*t(x)^37*d(x) + 23220*t(x)^31*d(x)^2 - 861720*t(x)^25*d(x)^3 + 12078270*t(x)^19*d(x)^4 - 46268172*t(x)^13*d(x)^5 + 21380976*t(x)^7*d(x)^6 - 254676960*t(x)*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: A211417 A287246 A022252 * A289116 A249621 A227280

Adjacent sequences: A034650 A034651 A034652 * A034654 A034655 A034656

Keyword

nonn

Author

N. J. A. Sloane

Status

approved