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 A205804 #7 Aug 27 2023 14:00:34 %S A205804 1,1,2,5,19,90,510,3395,25831,221140,2104310,22027170,251540795, %T A205804 3111928820,41460769350,591847005749,9011786683883,145794610986004, %U A205804 2497443795363566,45157627509568965,859494143391347310,17176870199851102510,359623890969235361700 %N A205804 E.g.f.: -log( Sum_{n>=0} (-x)^(n^2) / (n^2)! ). %e A205804 E.g.f.: A(x) = x + x^2/2! + 2*x^3/3! + 5*x^4/4! + 19*x^5/5! + 90*x^6/6! +... %e A205804 where %e A205804 exp(-A(x)) = 1 - x + x^4/4! - x^9/9! + x^16/16! - x^25/25! + x^36/36! +... %o A205804 (PARI) {a(n) = n!*polcoeff(-log(sum(m=0, sqrtint(n+1), (-x)^(m^2)/(m^2)!+x*O(x^n))), n)} %o A205804 for(n=1,25,print1(a(n),", ")) %Y A205804 Cf. A205802, A205803. %K A205804 nonn %O A205804 1,3 %A A205804 _Paul D. Hanna_, Jan 31 2012