A034656 - OEIS

A034656

Theta series of (putative) extremal 3-modular even lattice in dimension 92.

1, 0, 0, 0, 0, 0, 0, 0, 20990607300, 4031426457600, 461953129453056, 33678482285260800, 1689777019197288000, 61961776102200729600, 1739541798786402086400, 38795368719316465631232, 708063881901057288830700

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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)^46 - 276*t(x)^40*d(x) + 27324*t(x)^34*d(x)^2 - 1170240*t(x)^28*d(x)^3 + 20720700*t(x)^22*d(x)^4 - 121229136*t(x)^16*d(x)^5 + 138269376*t(x)^10*d(x)^6 - 56277504*t(x)^4*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: A172794 A384387 A068243 * A233478 A216016 A119478

Adjacent sequences: A034653 A034654 A034655 * A034657 A034658 A034659

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved