%I #12 Feb 02 2017 08:57:51

%S 1,1,1,2,8,40,268

%N Minimum possible absolute value over all coefficients of p(x)/(1-x)^n, where p is a power series with +-1 coefficients.

%C It is known that a(7) >= 2124, and that is conjectured to be the true value.

%e For n = 3 consider p(x) = (x+1)(x-1)^2/(x^4+1). Considered as a power series, this has coefficients +- 1 only. Then p(x)/(1-x)^3 has coefficients bounded by 2 in absolute value.

%K nonn,hard,more

%O 0,4

%A _Jeffrey Shallit_, Feb 01 2017