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

Author

Eric W. Weisstein

Keywords

• nonn
• base

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

• M. F. Hasler, Zeroless powers, OEIS Wiki, Mar 07 2014
• Eric Weisstein's World of Mathematics, Zero

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.

Programs

Mathematica

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

PARI

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

Extensions

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

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