cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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.

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%I A373884 #22 Jun 21 2024 17:21:36
%S A373884 13,5757,5260181,5178103157,5168770118857,5167819662055085,
%T A373884 5167723229551614933,5167713844375355566137,5167712884142309619400885,
%U A373884 5167712790787647771419572729
%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.
%F A373884 a(n) = A175361(10^n).
%o A373884 (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);
%o A373884 a(n) = b(6, 10^n);
%Y A373884 Cf. A068785, A373881, A373882, A373883, A373885.
%Y A373884 Cf. A175361.
%K A373884 nonn,more
%O A373884 0,1
%A A373884 _Seiichi Manyama_, Jun 21 2024
%E A373884 a(7)-a(9) from _Chai Wah Wu_, Jun 21 2024