cp's OEIS Frontend

A195946 Powers of 11 which have no zero in their decimal expansion.

%I A195946 #23 Jan 28 2023 14:01:08
%S A195946 1,11,121,1331,14641,1771561,19487171,214358881,2357947691,
%T A195946 3138428376721,34522712143931,379749833583241,4177248169415651,
%U A195946 45949729863572161,5559917313492231481,4978518112499354698647829163838661251242411
%N A195946 Powers of 11 which have no zero in their decimal expansion.
%C A195946 Probably finite. Is 4978518112499354698647829163838661251242411 the largest term?
%H A195946 M. F. Hasler, <a href="https://oeis.org/wiki/Zeroless_powers">Zeroless powers</a>, OEIS Wiki, Mar 07 2014
%H A195946 C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_607.htm">Puzzle 607. A zeroless Prime power</a>, on primepuzzles.net, Sept. 24, 2011.
%H A195946 W. Schneider, <a href="http://oeis.org/A007496/a007496.html">NoZeros: Powers n^k without Digit Zero</a> (local copy of www.wschnei.de/digit-related-numbers/nozeros.html), as of Jan 30 2003.
%F A195946 a(n) = 11^A030706(n).
%F A195946 A195946 = A001020 intersect A052382.
%t A195946 Select[11^Range[0,50],DigitCount[#,10,0]==0&] (* _Harvey P. Dale_, Jan 27 2014 *)
%o A195946 (PARI) for( n=0,9999, is_A052382(11^n) && print1(11^n,","))
%o A195946 (Magma) [11^n: n in [0..3*10^4] | not 0 in Intseq(11^n)]; // _Bruno Berselli_, Sep 26 2011
%Y A195946 For the zeroless numbers (powers x^n), see A195942, A195943, A238938, A238939, A238940, A195948, A238936, A195908, A195945.
%Y A195946 For the corresponding exponents, see A007377, A008839, A030700, A030701, A030702, A030703, A030704, A030705, A030706, A195944.
%K A195946 nonn,base
%O A195946 1,2
%A A195946 _M. F. Hasler_, Sep 25 2011
%E A195946 Keyword:fini removed by _Jianing Song_, Jan 28 2023 as finiteness is only conjectured.