A245852 Powers of 8 without the digit '0' in their decimal expansion.

1, 8, 64, 512, 32768, 262144, 16777216, 134217728, 8589934592, 68719476736, 549755813888, 2251799813685248, 4722366482869645213696, 2417851639229258349412352

Offset

1,2

Comments

Conjectured to be finite.

Links

Table of n, a(n) for n=1..14.

Mathematica

Select[8^Range[0, 2*10^5], DigitCount[#, 10, 0]==0 &]

Prog

(Magma) [8^n: n in [0..3*10^4] | not 0 in Intseq(8^n)];
(Python)
from itertools import count, islice
def A245852_gen(): # generator of terms
    return filter(lambda n:not '0' in str(n), (1<<3*n for n in count(0)))
A245852_list = list(islice(A245852_gen(), 10)) # Chai Wah Wu, Nov 10 2022

Crossrefs

Subsequence of A001018.

Cf. similar sequences listed in A245853.

Sequence in context: A046252 A074113 A074116 * A033144 A238300 A344271

Adjacent sequences: A245849 A245850 A245851 * A245853 A245854 A245855

Keyword

nonn,base

Author

Vincenzo Librandi, Aug 04 2014

Status

approved