A373885 Number of lattice points inside or on the 7-dimensional hypersphere x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 + x_6^2 + x_7^2 = 10^n.

15, 16859, 48218513, 149732983675, 472579187185537, 1494134816265585397, 4724776275561584896709, 14941025134674593046033085

Offset: 0

Author

Seiichi Manyama, Jun 21 2024

Keywords

• nonn
• more

Crossrefs

Cf. A068785, A373881, A373882, A373883, A373884.

Cf. A341396.

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(7, 10^n);

Formula

a(n) = A341396(10^n).

Extensions

a(7) from Chai Wah Wu, Jun 23 2024