A051019 Numbers that are 3-persistent but not 4-persistent.

1052674893, 1052687493, 1052746893, 1052748693, 1052867493, 1052874693, 1053267489, 1053268749, 1053274869, 1053286749, 1053287469, 1065273489, 1065287349, 1067285493, 1067328549, 1068547293, 1068547329, 1068549273

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

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

Links

• Hans Havermann, Table of n, a(n) for n = 1..1000
• Eric Weisstein's World of Mathematics, Persistent Number

Crossrefs

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

Programs

PARI

is_A051019(n)=for(i=1,4, 9<#Set(Vec(Str(i*n))) || return(i>3)) \\ M. F. Hasler, Jan 10 2012

Extensions

Definition corrected by Franklin T. Adams-Watters, Jan 09 2012