A034631 - OEIS

A034631

Theta series of (putative) extremal 3-modular even lattice in dimension 42.

1, 0, 0, 0, 255150, 22208256, 848836800, 18527097600, 267722771400, 2823129792000, 23221189252800, 156216399897600, 890233857251550, 4413205102118400, 19428198670785600, 77215562567974656, 280728337687134750

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OFFSET

0,5

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)^21 - 126*t(x)^15*d(x) + 3024*t(x)^9*d(x)^2 - 5040*t(x)^3*d(x)^3 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: A253725 A140079 A321505 * A168352 A147579 A087025

Adjacent sequences: A034628 A034629 A034630 * A034632 A034633 A034634

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved