A034617 Theta series of (putative) extremal 2-modular even lattice in dimension 92.

1, 0, 0, 0, 0, 0, 534252096, 554915266560, 225852318826344, 45256913268768768, 5185278948609430272, 377957590550059548672, 18963923843801746188288, 695381429964605782228992, 19522423821514699210218624, 435390443494969286351978496

Offset

0,7

Links

Table of n, a(n) for n=0..15.

H.-G. Quebbemann, Modular lattices in Euclidean spaces, J. Number Theory, 54 (1995), 190-202.

Formula

G.f.: t(x)^23 - 552*t(x)^19*d(x) + 101016*t(x)^15*d(x)^2 - 6911040*t(x)^11*d(x)^3 + 143285400*t(x)^7*d(x)^4 - 431739072*t(x)^3*d(x)^5 where t(x) is the g.f. for A004011 and d(x) is the g.f. for A002288. - Sean A. Irvine, Oct 25 2025

Crossrefs

Cf. A002288, A004011.

Sequence in context: A319937 A384340 A186092 * A135977 A011579 A122970

Adjacent sequences: A034614 A034615 A034616 * A034618 A034619 A034620

Keyword

nonn,changed

Author

N. J. A. Sloane

Status

approved