A207968 Ternary numbers that match irreducible polynomials over {0,1,2}.

10, 11, 12, 20, 21, 22, 101, 102, 111, 112, 122, 201, 202, 211, 212, 221, 222, 1002, 1011, 1021, 1022, 1101, 1102, 1112, 1121, 1201, 1202, 1211, 1222, 2001, 2011, 2012, 2021, 2022, 2102, 2111, 2122, 2201, 2202, 2212, 2221, 10001, 10002, 10011

Offset: 1

Author

Clark Kimberling, Feb 21 2012

Keywords

• nonn

Comments

These are base 3 representations for the numbers (in base 10) at A207966.

Crossrefs

Cf. A207966, A207966, A206073 (base 2).

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 *)