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.

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.

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%I A373885 #17 Jun 23 2024 10:25:15
%S A373885 15,16859,48218513,149732983675,472579187185537,1494134816265585397,
%T A373885 4724776275561584896709,14941025134674593046033085
%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.
%F A373885 a(n) = A341396(10^n).
%o A373885 (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 A373885 a(n) = b(7, 10^n);
%Y A373885 Cf. A068785, A373881, A373882, A373883, A373884.
%Y A373885 Cf. A341396.
%K A373885 nonn,more
%O A373885 0,1
%A A373885 _Seiichi Manyama_, Jun 21 2024
%E A373885 a(7) from _Chai Wah Wu_, Jun 23 2024