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 A381148 #8 Feb 15 2025 10:11:26 %S A381148 1,1,1,0,-11,-88,-459,-560,27945,502336,5223945,18968576,-671465123, %T A381148 -20909349888,-345616002627,-2437013715968,65881260463697, %U A381148 3252353828442112,76987773739473809,873339053357432832,-17521718791602049595,-1354633521318944473088 %N A381148 E.g.f. A(x) satisfies A(x) = exp( sin(x * A(x)) / A(x) ). %F A381148 a(n) = Sum_{k=0..n} (n-k+1)^(k-1) * i^(n-k) * A136630(n,k), where i is the imaginary unit. %o A381148 (PARI) a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j)); %o A381148 a(n) = sum(k=0, n, (n-k+1)^(k-1)*I^(n-k)*a136630(n, k)); %Y A381148 Cf. A002017, A381142, A381145. %Y A381148 Cf. A136630, A185690. %K A381148 sign %O A381148 0,5 %A A381148 _Seiichi Manyama_, Feb 15 2025