A034652 - OEIS

A034652

Theta series of (putative) extremal 3-modular even lattice in dimension 84.

1, 0, 0, 0, 0, 0, 0, 0, 119421161244, 12343472418816, 958224043687680, 47464428506148864, 1682914614159993984, 44796917284704313344, 935039617789310288640, 15824157914497980579840, 223099460660621194863444

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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)^42 - 252*t(x)^36*d(x) + 21924*t(x)^30*d(x)^2 - 772128*t(x)^24*d(x)^3 + 9904356*t(x)^18*d(x)^4 - 32033232*t(x)^12*d(x)^5 + 9513504*t(x)^6*d(x)^6 - 424942848*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: A122717 A287238 A072718 * A015402 A108389 A172561

Adjacent sequences: A034649 A034650 A034651 * A034653 A034654 A034655

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved