A034655 - OEIS

A034655

Theta series of (putative) extremal 3-modular even lattice in dimension 90.

1, 0, 0, 0, 0, 0, 0, 0, 33269343840, 5543781696000, 573092664283008, 37980579083235840, 1746784405567800720, 59125380643147069440, 1541346048771905554560, 32083510011890343754752, 548966364701814547477470

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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)^45 - 270*t(x)^39*d(x) + 25920*t(x)^33*d(x)^2 - 1060560*t(x)^27*d(x)^3 + 17454690*t(x)^21*d(x)^4 - 89751564*t(x)^15*d(x)^5 + 78903720*t(x)^9*d(x)^6 - 88121520*t(x)^3*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: A233794 A202281 A271818 * A099600 A391722 A115498

Adjacent sequences: A034652 A034653 A034654 * A034656 A034657 A034658

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved