A107774 a(1)=3, a(n) = smallest integer not previously used which contains a digit from a(n-1).

3, 13, 1, 10, 0, 20, 2, 12, 11, 14, 4, 24, 21, 15, 5, 25, 22, 23, 26, 6, 16, 17, 7, 27, 28, 8, 18, 19, 9, 29, 32, 30, 31, 33, 34, 35, 36, 37, 38, 39, 43, 40, 41, 42, 44, 45, 46, 47, 48, 49, 54, 50, 51, 52, 53, 55, 56, 57, 58, 59, 65, 60, 61, 62, 63, 64, 66, 67, 68, 69, 76, 70

Offset: 1

Author

Eric Angelini & Zak Seidov, May 24 2005

Keywords

• base
• nonn

Comments

Cf. A107353 a(1)=0, A107772 a(1)=1, A107773 a(1)=2, A107775 a(1)=4, A107776 a(1)=5, A107777 a(1)=6, A107778 a(1)=7, A107779 a(1)=8, A107780 a(1)=9, A107781 a(1)=10

Crossrefs

Cf. A107353, A107772, A107773, A107775, A107776, A107777, A107778, A107779, A107780, A107781.

Programs

Mathematica

f[l_] := Block[{c = 0}, While[ MemberQ[l, c] || Intersection @@ IntegerDigits /@{Last[l], c}=={}, c++ ];Return[Append[l, c]]];Nest[f, {3}, 70] (* Ray Chandler, Jul 19 2005 *)