A033722 Expansion of Product_{d | 10} theta_3(q^d).

1, 2, 2, 4, 2, 2, 8, 4, 10, 10, 2, 16, 8, 12, 16, 4, 26, 20, 26, 24, 2, 32, 24, 28, 40, 2, 28, 40, 16, 28, 8, 24, 58, 48, 36, 4, 26, 44, 40, 56, 10, 36, 64, 36, 24, 10, 48, 52, 104, 66, 2, 72, 28, 60, 80, 16, 80, 80, 60, 56, 8, 60, 64, 116, 122, 12, 96, 76, 36, 96, 16, 72, 130

Offset

0,2

References

J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, p 102 eq 9.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Number of integer solutions to a^2 + 2*b^2 + 5*c^2 + m*d^2 = n: A319822 (m=5), A320163 (m=6), A320164 (m=7), A320165 (m=8), A320166 (m=9), this sequence (m=10).

Sequence in context: A286250 A278244 A278542 * A320166 A320165 A320164

Adjacent sequences: A033719 A033720 A033721 * A033723 A033724 A033725

Keyword

nonn

Author

N. J. A. Sloane

Status

approved