A167521 Positive integers not occurring in A167520.

11, 29, 47, 67, 85, 105, 123, 143, 161, 181, 182, 184, 187, 190, 193, 196, 199, 202, 205, 209, 239, 266, 296, 323, 353, 380, 410, 445, 446, 448, 451, 454, 457, 460, 463, 467, 497, 527, 554, 584, 614, 641, 671, 701, 727, 728, 730, 733, 736, 739, 742, 745, 748

Offset

1,1

Comments

Equivalently, positions of zero digits in A167520 (when all terms are concatenated).

The first differences are (18, 18, 20, 18, 20, 18, 20, 18, 20, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 30, 27, 30, 27, 30, 27, 30, 35, 1, 2, 3, 3, 3, 3, 3, 4, ...)

Links

Table of n, a(n) for n=1..53.

Example

The first occurrence of the digit '0' in A167520 is as the least significant digit of A167520(10)=10, which occurs at position 11, thus a(1)=11. Equivalently, this is the least positive integer missing in A167520.
The next occurrence of the digit '0' in A167520 is at position 29 (and 29 is the second positive integer not occurring in A167520), thus a(2)=29.

Prog

(PARI) base(n, b=10) = { my( a=[ n%b ]); while( 0<n\=b, a=concat( n%b, a )); a }
{a=b=[]; for(n=1, 499, #b>=n & for(i=a[n-1]+1, #b, b[i] & (a=concat(a, i)) & break); #a<n & a=concat(a, #b+1); b=concat(b, base(a[n]))); for(i=1, #b, b[i] || print1(i", "))}

Crossrefs

Cf. A167500-A167503, A167520-A167523.

Sequence in context: A045469 A219790 A249436 * A031338 A301621 A049229

Adjacent sequences: A167518 A167519 A167520 * A167522 A167523 A167524

Keyword

nonn,base

Author

M. F. Hasler, Nov 05 2009

Status

approved