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 A381176 #10 Feb 16 2025 10:05:55
%S A381176 1,1,0,-3,-24,-55,480,8813,61824,-264591,-13662720,-185252771,
%T A381176 -117427200,52162650553,1214778679296,7998339208845,-370278535495680,
%U A381176 -14623177924271263,-202753399336206336,3863010744775239101,286065782789626920960,6603193175290504771881
%N A381176 E.g.f. A(x) satisfies A(x) = 1 + x*cos(x*A(x)).
%C A381176 As stated in the comment of A185951, A185951(n,0) = 0^n.
%F A381176 a(n) = Sum_{k=0..n} k! * binomial(n-k+1,k)/(n-k+1) * i^(n-k) * A185951(n,k), where i is the imaginary unit.
%o A381176 (PARI) a185951(n, k) = binomial(n, k)/2^k*sum(j=0, k, (2*j-k)^(n-k)*binomial(k, j));
%o A381176 a(n) = sum(k=0, n, k!*binomial(n-k+1, k)/(n-k+1)*I^(n-k)*a185951(n, k));
%Y A381176 Cf. A381173, A381174, A381175.
%Y A381176 Cf. A185951.
%K A381176 sign
%O A381176 0,4
%A A381176 _Seiichi Manyama_, Feb 16 2025