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.
%I A330316 #14 May 21 2024 09:41:07 %S A330316 1,4,0,0,8,0,0,0,4,8,0,0,0,0,0,0,8,8,0,0,0,0,0,0,0,24,0,0,0,0,0,0,0,0, %T A330316 0,0,8,0,0,0,16,0,0,0,0,0,0,0,0,12,0,0,16,0,0,0,0,0,0,0,0,0,0,0,16,0, %U A330316 0,0,0,0,0,0,8,16,0,0,0,0,0,0,8,8,0,0,0,0,0,0,0,16,0,0,0,0,0,0,0,8,0,0,24 %N A330316 a(n) = r(n)*r(n+1)/4, where r(n) = A004018(n) is the number of ways of writing n as a sum of two squares. %D A330316 H. Iwaniec. Spectral methods of automorphic forms, volume 53 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2002. %H A330316 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 A330316 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. %t A330316 Times@@#/4&/@Partition[SquaresR[2,Range[0,110]],2,1] (* _Harvey P. Dale_, May 30 2020 *) %Y A330316 Cf. A004018, A330315, A330317, A330318. %K A330316 nonn %O A330316 0,2 %A A330316 _N. J. A. Sloane_, Dec 11 2019