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 A381413 #10 Feb 23 2025 08:09:50
%S A381413 1,1,1,0,-19,-248,-2355,-14504,69113,4886848,117560921,1925294976,
%T A381413 14523966437,-478472693632,-28832809713435,-921278399444480,
%U A381413 -18983574162924687,-55161522627854336,18306724696454977713,1118400460045234098176,41755736397548337559133
%N A381413 E.g.f. A(x) satisfies A(x) = exp( sin(x * A(x)^2) / A(x)^2 ).
%F A381413 a(n) = Sum_{k=0..n} (2*n-2*k+1)^(k-1) * i^(n-k) * A136630(n,k), where i is the imaginary unit.
%o A381413 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381413 a(n) = sum(k=0, n, (2*n-2*k+1)^(k-1)*I^(n-k)*a136630(n, k));
%Y A381413 Cf. A136630.
%K A381413 sign
%O A381413 0,5
%A A381413 _Seiichi Manyama_, Feb 23 2025