

A247945


Lexicographically earliest permutation of the positive integers such that a(n) contains the a(n)th digit of the sequence, for all n.


0



1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 13, 15, 17, 19, 21, 22, 25, 27, 29, 31, 23, 33, 37, 39, 41, 24, 44, 47, 49, 51, 53, 45, 55, 59, 61, 26, 46, 66, 69, 71, 73, 75, 67, 77, 81, 28, 48, 68, 88, 91, 93, 95, 97, 89, 10, 20, 40, 60, 80, 111, 14, 16, 18, 12, 112, 42, 62, 82, 113, 34, 36, 38, 30, 114, 116
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..75.
M. F. Hasler in reply to E. Angelini, The a(n)th digit of the sequence is visible in a(n), SeqFan list, Sep 27 2014


EXAMPLE

See the link.
a(10) cannot be 10 because in that case, the 11th digit would be "0" which does not occur in the number "11", so this number could appear nowhere else in the sequence.


PROG

(PARI) a(n, print_all=0, d=[], u=0, L)={for(n=1, n, for(k=1, 9e9, bittest(u, k)&&next;
for(j=1, #dk=digits(k), setsearch(Set(digits(#d+j)), dk[j])next(2));
d=concat(d, digits(k)); u+=1<<L=k; print_all&&print1(k", "); break)); L} \\ M. F. Hasler, Sep 27 2014


CROSSREFS

Sequence in context: A061383 A059708 A306520 * A317621 A298297 A331009
Adjacent sequences: A247942 A247943 A247944 * A247946 A247947 A247948


KEYWORD

nonn,base


AUTHOR

Eric Angelini and M. F. Hasler, Sep 27 2014


STATUS

approved



