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 A351188 #6 Feb 08 2022 05:18:53
%S A351188 0,1,0,0,1,-2,3,-3,-2,24,-94,280,-687,1270,-655,-9306,65087,-306724,
%T A351188 1202250,-4033365,10855578,-15470865,-69819687,850568716,-5679272040,
%U A351188 30749200898,-144912453016,593521998765,-1956641103972,3349999455415,20123433921282,-295760693980981
%N A351188 G.f. A(x) satisfies: A(x) = x + x^3 * A(x/(1 + x)) / (1 + x).
%C A351188 Shifts 3 places left under inverse binomial transform.
%F A351188 a(0) = 0, a(1) = 1, a(2) = 0; a(n) = Sum_{k=0..n-3} (-1)^k * binomial(n-3,k) * a(n-k-3).
%t A351188 nmax = 31; A[_] = 0; Do[A[x_] = x + x^3 A[x/(1 + x)]/(1 + x) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x]
%t A351188 a[0] = 0; a[1] = 1; a[2] = 0; a[n_] := a[n] = Sum[(-1)^k Binomial[n - 3, k] a[n - k - 3], {k, 0, n - 3}]; Table[a[n], {n, 0, 31}]
%Y A351188 Cf. A000997, A010741, A351189.
%K A351188 sign
%O A351188 0,6
%A A351188 _Ilya Gutkovskiy_, Feb 04 2022