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Numbers that are 3-persistent but not 4-persistent.
9

%I #23 Jan 22 2021 15:46:04

%S 1052674893,1052687493,1052746893,1052748693,1052867493,1052874693,

%T 1053267489,1053268749,1053274869,1053286749,1053287469,1065273489,

%U 1065287349,1067285493,1067328549,1068547293,1068547329,1068549273

%N Numbers that are 3-persistent but not 4-persistent.

%C A number n is k-persistent iff all of {n, 2n,..., kn} are pandigital (in the sense of A171102).

%H Hans Havermann, <a href="/A051019/b051019.txt">Table of n, a(n) for n = 1..1000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PersistentNumber.html">Persistent Number</a>

%o (PARI) is_A051019(n)=for(i=1,4, 9<#Set(Vec(Str(i*n))) || return(i>3)) \\ _M. F. Hasler_, Jan 10 2012

%Y Cf. A171102 (pandigital), A204047 (smallest n-persistent), A051264 (1-persistent), A051018 (2-persistent), A051020 (4-persistent), A204096 (5-persistent), A204097 (6-persistent).

%K nonn,base

%O 1,1

%A _Eric W. Weisstein_

%E Definition corrected by _Franklin T. Adams-Watters_, Jan 09 2012