A034649 Theta series of (putative) extremal 3-modular even lattice in dimension 78.

1, 0, 0, 0, 0, 0, 0, 1743970176, 265249592244, 23321125795968, 1278342677154816, 47813572188660096, 1304718565331589408, 27319796673566431104, 456557276977081353216, 6281997628403361376512, 72977548924117035071874

Offset

0,8

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)^39 - 234*t(x)^33*d(x) + 18252*t(x)^27*d(x)^2 - 540072*t(x)^21*d(x)^3 + 5085990*t(x)^15*d(x)^4 - 8756748*t(x)^9*d(x)^5 - 4088448*t(x)^3*d(x)^6 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: A228376 A015411 A384546 * A384547 A211240 A258423

Adjacent sequences: A034646 A034647 A034648 * A034650 A034651 A034652

Keyword

nonn

Author

N. J. A. Sloane

Status

approved