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%I #14 Nov 23 2023 10:42:20
%S 12,0,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
%T 3
%N Expansion of 3*(2-x)^2/(1-x).
%F b(n) = coefficient expansion of -3*(-2 + x^2)^2/(49*x^2 *(-1 + x^2)), a(n) = 49*b(n).
%t k[n_] = -(-1 + 2^(-n))^(-n)* (-2 + 2^(-n))^n *(-1 + 2^n) j[x_, n_] = (x^n - 2)^n/(k[n]*x^n*(x^n - 1)^(n - 1)) (* Farey-like function *) f[x_] := 1/(j[x, 2]) /; 0 <= x <= 1/2 f[x_] := j[x, 2] /; 1/2 < x <= 2 ff[x_] = f[Mod[Abs[x], 2]] Plot[f[Mod[Abs[x], 2]], {x, 0, 2}] (*n=2 level*) b = 49*ReplacePart[Table[Coefficient[Series[ -3* (-2 + x^2)^2/(49* x^2 (-1 + x^2)), {x, 0, 30}], x^n], {n, -2, 30}], 3/49, 3] (* removing the zeros *) c = Flatten[Table[If[b[[n]] > 0, b[[n]], {}], {n, 1, Length[b]}]]
%K nonn,easy,less
%O 0,1
%A _Roger L. Bagula_, Jan 30 2006
%E NAME simplified by _R. J. Mathar_, May 25 2023
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