A373884 Number of lattice points inside or on the 6-dimensional hypersphere x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 + x_6^2 = 10^n.

13, 5757, 5260181, 5178103157, 5168770118857, 5167819662055085, 5167723229551614933, 5167713844375355566137, 5167712884142309619400885, 5167712790787647771419572729

Offset: 0

Author

Seiichi Manyama, Jun 21 2024

Keywords

• nonn
• more

Crossrefs

Cf. A068785, A373881, A373882, A373883, A373885.

Cf. A175361.

Programs

PARI

b(k, n) = my(q='q+O('q^(n+1))); polcoef((eta(q^2)^5/(eta(q)^2*eta(q^4)^2))^k/(1-q), n);
a(n) = b(6, 10^n);

Formula

a(n) = A175361(10^n).

Extensions

a(7)-a(9) from Chai Wah Wu, Jun 21 2024