A030706 Decimal expansion of 11^n contains no zeros (probably finite).

0, 1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 15, 16, 18, 41

Offset

1,3

Comments

See A195946 for the actual powers 11^n. - M. F. Hasler, Dec 17 2014

It appears that 41 is also the largest integer n such that 11^n is not pandigital, cf. A272269. - M. F. Hasler, May 18 2017

Links

Table of n, a(n) for n=1..16.

M. F. Hasler, Zeroless powers, OEIS Wiki, Mar 07 2014

Eric Weisstein's World of Mathematics, Zero

Mathematica

Select[Range[0, 41], DigitCount[11^#, 10, 0]==0&] (* Harvey P. Dale, Dec 31 2020 *)

Prog

(PARI) for(n=0, 99, vecmin(digits(11^n))&&print1(n", ")) \\ M. F. Hasler, Mar 08 2014

Crossrefs

For other zeroless powers x^n, see A238938, A238939, A238940, A195948, A238936, A195908 (x=7), A245852, A240945 (k=9), A195946 (x=11), A245853 (x=12), A195945 (x=13); A195942, A195943, A103662.

For the corresponding exponents, see A007377, A030700, A030701, A008839, A030702, A030703, A030704, A030705, A030706 (this), A195944.

For other related sequences, see A052382, A027870, A102483, A103663.

Sequence in context: A330104 A330120 A239015 * A285986 A101883 A236207

Adjacent sequences: A030703 A030704 A030705 * A030707 A030708 A030709

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

Offset corrected and initial term 0 added by M. F. Hasler, Sep 25 2011

Further edits by M. F. Hasler, Dec 17 2014

Status

approved