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 A207671 Numbers in ternary representation that match nonzero polynomials with all coefficients in {0,1,2} that are irreducible modulo 3. 3
 10, 11, 12, 20, 21, 22, 101, 112, 122, 202, 211, 221, 1021, 1022, 1102, 1112, 1121, 1201, 1211, 1222, 2011, 2012, 2102, 2111, 2122, 2201, 2212, 2221, 10012, 10022, 10102, 10111, 10121, 10202, 11002, 11021, 11101, 11111, 11122, 11222 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS For a discussion and examples in base-10 representation, see A207670. For the analogous sequence in base 2, see A206073. LINKS Table of n, a(n) for n=1..40. EXAMPLE (See the Example section of A207669.) MATHEMATICA t = Table[IntegerDigits[n, 3], {n, 1, 1000}]; 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], Modulus -> 3], AppendTo[u, n]], {n, 1, 400}] u (* A207669 *) Complement[Range[200], %] (* A207670 *) b[n_] := FromDigits[IntegerDigits[u, 3][[n]]] Table[b[n], {n, 1, 50}] (* A207671 *) CROSSREFS Cf. A207669, A206073. Sequence in context: A305130 A098395 A207968 * A154328 A112654 A362987 Adjacent sequences: A207668 A207669 A207670 * A207672 A207673 A207674 KEYWORD nonn,base AUTHOR Clark Kimberling, Feb 26 2012 STATUS approved

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Last modified July 12 10:18 EDT 2024. Contains 374244 sequences. (Running on oeis4.)