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 A343084 #11 Mar 18 2025 21:01:53 %S A343084 1105,129,52,53,36,37,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47, %T A343084 48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70, %U A343084 71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89 %N A343084 a(n) is the smallest number that is the sum of n positive squares in four ways. %C A343084 This is r(n,2,4) in Alter's notation. %H A343084 R. Alter, <a href="https://doi.org/10.1007/BFb0096461">Computations and generalizations on a remark of Ramanujan</a>, pp. 182-196 of "Analytic Number Theory (Philadelphia, 1980)", ed. M. I. Knopp, Lect. Notes Math., Vol. 899, 1981. See Table 10, page 193. %H A343084 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1). %F A343084 a(n) = n + 24 for n >= 8. %e A343084 a(2) = 1105 = 4^2 + 33^2 = 9^2 + 32^2 = 12^2 + 31^2 = 23^2 + 24^2. %e A343084 a(3) = 129 = 1^2 + 8^2 + 8^2 = 2^2 + 2^2 + 11^2 = 2^2 + 5^2 + 10^2 = 4^2 + 7^2 + 8^2. %t A343084 LinearRecurrence[{2,-1},{1105,129,52,53,36,37,32,33},70] (* _Harvey P. Dale_, Mar 18 2025 *) %Y A343084 Cf. A343080, A343085, A343086. %K A343084 nonn %O A343084 2,1 %A A343084 _Sean A. Irvine_, Apr 04 2021