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.

A330317 a(n) = Sum_{i=0..n} r(i)*r(i+1), where r(n) = A004018(n) is the number of ways of writing n as a sum of two squares.

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%I A330317 #11 May 21 2024 09:41:15
%S A330317 4,20,20,20,52,52,52,52,68,100,100,100,100,100,100,100,132,164,164,
%T A330317 164,164,164,164,164,164,260,260,260,260,260,260,260,260,260,260,260,
%U A330317 292,292,292,292,356,356,356,356,356,356,356,356,356,404,404,404,468,468,468,468,468,468,468,468,468,468,468,468,532,532,532
%N A330317 a(n) = Sum_{i=0..n} r(i)*r(i+1), where r(n) = A004018(n) is the number of ways of writing n as a sum of two squares.
%D A330317 H. Iwaniec. Spectral methods of automorphic forms, volume 53 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2002.
%H A330317 Fernando Chamizo, <a href="https://doi.org/10.2969/jmsj/05110237">Correlated sums of r(n)</a>, J. Math. Soc. Japan, 51(1):237-252, 1999.
%H A330317 Fernando Chamizo, and Roberto J. Miatello, <a href="https://arxiv.org/abs/1812.10725">Sums of squares in real quadratic fields and Hilbert modular groups</a>, arXiv preprint arXiv:1812.10725 [math.NT], 2018.
%Y A330317 Cf. A004018, A330316, A330318.
%Y A330317 Partial sums of A330315.
%K A330317 nonn
%O A330317 0,1
%A A330317 _N. J. A. Sloane_, Dec 11 2019