A096779 Smallest positive integer not occurring earlier having no common digits with n in its decimal representation.

2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 20, 30, 22, 23, 24, 25, 26, 27, 28, 11, 33, 13, 14, 15, 16, 17, 18, 19, 31, 12, 29, 40, 21, 50, 41, 42, 44, 45, 46, 32, 35, 36, 51, 37, 38, 39, 52, 53, 55, 34, 43, 47, 48, 60, 49, 70, 61, 62, 63, 54, 57, 58, 59, 71, 72, 73, 80, 74, 75, 56, 64, 65

Offset

1,1

Comments

For n=1023456789 there is no possible a(n), so the sequence is finite. - Eric Angelini, Dec 18 2006

a(123456788) is the last term. - Andrew Weimholt, Dec 19 2006

a(123456788) = 9099900999090090. - Sasha Semenov, Dec 25 2006

Links

R. Zumkeller, Table of n, a(n) for n = 1..10000

Hans Havermann, Graph of first 2600 terms

Sasha Semenov, Notes on computing this sequence [From rec.math]

Prog

(PARI) A096779_upto(N, U=[0])=vector(N, n, n=Set(digits(n)); for(k=1+U[1], oo, setsearch(U, k)|| setintersect(n, Set(digits(k)))|| [n=k, break]); U=setunion(U, [n]); while(#U>1&& U[2]==U[1]+1, U=U[^1]); n)/*+print(U)*/ \\ M. F. Hasler, Jan 29 2025

Crossrefs

Sequence in context: A163501 A306229 A375757 * A243500 A026262 A026234

Adjacent sequences: A096776 A096777 A096778 * A096780 A096781 A096782

Keyword

nonn,base,fini,look,changed

Author

Reinhard Zumkeller, Aug 16 2004

Status

approved