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 A224607 #7 May 05 2025 20:21:54 %S A224607 1,5,28,269,6181,286790,26808447,5037694829,1902773895751, %T A224607 1444565587750055,2204357811343981558,6761166975496300074014, %U A224607 41682712965722542326438411,516517498759950258411494666787,12864972023450485679400300069493738 %N A224607 a(n) = A219331(n^2). %C A224607 A219331 is the logarithmic derivative of A006456, where A006456(n) is the number of compositions of n into sums of squares. %F A224607 Logarithmic derivative of A224608. %e A224607 L.g.f.: L(x) = x + 5*x^2/2 + 28*x^3/3 + 269*x^4/4 + 6181*x^5/5 + 286790*x^6/6 +... %e A224607 where %e A224607 exp(L(x)) = 1 + x + 3*x^2 + 12*x^3 + 81*x^4 + 1335*x^5 + 49309*x^6 + 3882180*x^7 +...+ A224608(n)*x^n +... %o A224607 (PARI) {a(n)=n^2*polcoeff(-log(1-sum(r=1,n,x^(r^2)+x*O(x^(n^2)))),n^2)} %o A224607 for(n=1,30,print1(a(n),", ")) %Y A224607 Cf. A224608, A219331, A006456, A224366. %K A224607 nonn %O A224607 1,2 %A A224607 _Paul D. Hanna_, Apr 12 2013