A373881
Number of lattice points inside the ball x^2 + y^2 + z^2 <= 10^n.
Original entry on oeis.org
7, 147, 4169, 132451, 4187857, 132459677, 4188781437, 132461190717, 4188790061109, 132461176423805, 4188790203273025, 132461176878317635
Offset: 0
-
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(3, 10^n);
A373883
Number of lattice points inside or on the 5-dimensional hypersphere x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 = 10^n.
Original entry on oeis.org
11, 1903, 532509, 166711479, 52646439609, 16645828150193, 5263797438037625, 1664556518763850069, 526378909839312477785, 166455624316184206850205, 52637890147973140623040513, 16645562406807092052281075983, 5263789013922669372094091725857
Offset: 0
-
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(5, 10^n);
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.
Original entry on oeis.org
13, 5757, 5260181, 5178103157, 5168770118857, 5167819662055085, 5167723229551614933, 5167713844375355566137, 5167712884142309619400885, 5167712790787647771419572729
Offset: 0
-
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);
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.
Original entry on oeis.org
15, 16859, 48218513, 149732983675, 472579187185537, 1494134816265585397, 4724776275561584896709, 14941025134674593046033085
Offset: 0
-
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);
A373896
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.
Original entry on oeis.org
17, 47921, 415055025, 4068011664081, 40596481219349025, 405880555110153633585, 4058721509888208894731345, 40587130610718907618215585345, 405871222004868007901459647593809, 4058712135741827985063748936303681217
Offset: 0
-
a008457(n) = sumdiv(n, d, (-1)^(n-d)*d^3);
a341397(n) = 1+16*sum(k=1, n, a008457(k));
a(n) = a341397(10^n);
Showing 1-5 of 5 results.