A207967 Numbers that match non-irreducible polynomials over {0,1,2}; complement of A207966.
1, 2, 9, 12, 15, 16, 18, 21, 24, 27, 28, 30, 32, 33, 36, 39, 40, 42, 44, 45, 48, 50, 51, 52, 54, 56, 57, 60, 63, 64, 66, 68, 69, 70, 72, 75, 76, 78, 80, 81, 84, 87, 88, 90, 91, 93, 96, 99, 100, 102, 104, 105, 108, 111, 112, 114, 116, 117, 119, 120, 123, 124
Offset: 1
Keywords
Examples
(See A207966.)
Programs
-
Mathematica
t = Table[IntegerDigits[n, 3], {n, 1, 850}]; b[n_] := Reverse[Table[x^k, {k, 0, n}]] p[n_, x_] := t[[n]].b[-1 + Length[t[[n]]]] Table[p[n, x], {n, 1, 15}] u = {}; Do[n++; If[IrreduciblePolynomialQ[p[n, x]], AppendTo[u, n]], {n, 300}]; u (* A207966 *) Complement[Range[200], u] (* A207967 *) b[n_] := FromDigits[IntegerDigits[u, 3][[n]]] Table[b[n], {n, 1, 50}] (* A207968 *)
Comments