%I #14 Jun 21 2024 10:47:19
%S 17,47921,415055025,4068011664081,40596481219349025,
%T 405880555110153633585,4058721509888208894731345,
%U 40587130610718907618215585345,405871222004868007901459647593809,4058712135741827985063748936303681217
%N Number of lattice points inside or on the 8-dimensional hypersphere x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 + x_6^2 + x_7^2 + x_8^2 = 10^n.
%F a(n) = A341397(10^n).
%F a(n) == 1 (mod 16).
%o (PARI) a008457(n) = sumdiv(n, d, (-1)^(n-d)*d^3);
%o a341397(n) = 1+16*sum(k=1, n, a008457(k));
%o a(n) = a341397(10^n);
%Y Cf. A068785, A373881, A373882, A373883, A373884, A373885.
%Y Cf. A008457, A341397.
%K nonn
%O 0,1
%A _Seiichi Manyama_, Jun 21 2024