A107772 a(1)=1, a(n) = smallest integer not previously used which contains a digit from a(n-1).

1, 10, 0, 20, 2, 12, 11, 13, 3, 23, 21, 14, 4, 24, 22, 25, 5, 15, 16, 6, 26, 27, 7, 17, 18, 8, 28, 29, 9, 19, 31, 30, 32, 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

1,2

Comments

Cf. A107353 a(1)=0, A107773 a(1)=2, A107774 a(1)=3, 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

Links

Table of n, a(n) for n=1..72.

Mathematica

f[l_] := Block[{c = 0}, While[ MemberQ[l, c] || Intersection @@ IntegerDigits /@{Last[l], c}=={}, c++ ]; Return[Append[l, c]]]; Nest[f, {1}, 70] (* Ray Chandler, Jul 19 2005 *)

Crossrefs

Cf. A107353, A107773, A107774, A107775, A107776, A107777, A107778, A107779, A107780, A107781.

Sequence in context: A256974 A070650 A107781 * A087474 A051906 A171809

Adjacent sequences: A107769 A107770 A107771 * A107773 A107774 A107775

Keyword

base,nonn

Author

Eric Angelini & Zak Seidov, May 24 2005

Status

approved