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 A158986 #17 Jan 05 2025 19:51:39 %S A158986 1,-2,1,-2,-1,1,-4,4,0,-2,1,-8,24,-32,14,8,-8,0,-1,1,-16,112,-448, %T A158986 1116,-1744,1552,-384,-700,736,-160,-128,64,0,0,0,-2,1,-32,480,-4480, %U A158986 29112,-139552,509600,-1441024,3166616,-5345344,6668992,-5473536,1494624,3005056,-4820608 %N A158986 Coefficients of polynomials Q(n,x):=-2+(1+Q(n-1,x))^2, where Q(1,x)=x-2. %C A158986 Let P(n,x) be the n-th polynomial at A158984. Then Q(n,x)=P(n-1,x)-1 is a factor of P(n,x). %H A158986 Clark Kimberling, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/48-3/Kimberling.pdf">Polynomials defined by a second-order recurrence, interlacing zeros, and Gray codes</a>, The Fibonacci Quarterly 48 (2010) 209-218. %e A158986 Row 1: 1 -2 (from x-2) %e A158986 Row 2: 1 -2 -1 (from x^2-2x-1) %e A158986 Row 3: 1 -4 4 0 -2 %e A158986 Row 4: 1 -8 24 -32 14 8 -8 0 -1 %o A158986 (PARI) tabf(nn) = {p = x-2; print(Vec(p)); for (n=2, nn, p = -2 + (p+1)^2; print(Vec(p)););} \\ _Michel Marcus_, Mar 01 2016 %Y A158986 Cf. A158982, A158983, A158984, A158985. %K A158986 sign,tabf %O A158986 1,2 %A A158986 _Clark Kimberling_, Apr 02 2009