A030706 - OEIS (original) (raw)

A030706

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

26

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

COMMENTS

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

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.

EXTENSIONS

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