A236403 Numbers not in A236402.

11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119

Offset

1,1

Comments

This sequence has density 0, since all numbers except a thin fraction have digits 0 through 18 in base 100. In particular, there are at most x^0.99782 members up to x for large enough x. (This can be improved.) - Charles R Greathouse IV, Jan 30 2014

Where does this first differ from A038687? - R. J. Mathar, Feb 03 2014

Is this a shifted version of A031954? - R. J. Mathar, Feb 03 2014

Links

Table of n, a(n) for n=1..91.

Prog

(PARI) is(n)=my(d=digits(n), S=Set(d), v=List()); for(i=2, #d, listput(v, 10*d[i-1]+d[i])); S=setunion(S, Set(v)); for(i=2, #d, if(!setsearch(S, d[i-1]+d[i]), return(1))); 0 \\ Charles R Greathouse IV, Mar 10 2021
(Python)
def ok(n):
  s = str(n)
  return not all(str(sum(map(int, s[i:i+2]))) in s for i in range(len(s)-1))
print(list(filter(ok, range(120)))) # Michael S. Branicky, Jun 11 2021

Crossrefs

Subsequence of A052382.

Cf. A236402.

Sequence in context: A216589 A038687 A359983 * A293728 A070255 A267085

Adjacent sequences: A236400 A236401 A236402 * A236404 A236405 A236406

Keyword

nonn,base

Author

Eric Angelini, Jan 30 2014

Extensions

Missing a(82) added by Charles R Greathouse IV, Mar 10 2021

Status

approved