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 A381417 #10 Feb 23 2025 08:20:10
%S A381417 1,1,5,48,693,13432,327561,9639224,332476361,13157303104,587704852749,
%T A381417 29250533304960,1605304225302525,96313936238637184,
%U A381417 6271774683977444817,440545491471769836032,33204015428071302059025,2672942015998405569765376,228892490007003118401996565
%N A381417 E.g.f. A(x) satisfies A(x) = exp( sin(x * A(x)^2) ).
%F A381417 a(n) = Sum_{k=0..n} (2*n+1)^(k-1) * i^(n-k) * A136630(n,k), where i is the imaginary unit.
%o A381417 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
%o A381417 a(n) = sum(k=0, n, (2*n+1)^(k-1)*I^(n-k)*a136630(n, k));
%Y A381417 Cf. A136630.
%K A381417 nonn
%O A381417 0,3
%A A381417 _Seiichi Manyama_, Feb 23 2025