A051020 Numbers that are 4-persistent but not 5-persistent.

1053274689, 1089467253, 1253094867, 1267085493, 1268547309, 1269085473, 1273085469, 1308547269, 1308549267, 1326854907, 1327068549, 1328746905, 1450687329, 1450732869, 1450867293, 1450928673, 1452687309, 1452690873

Offset: 1

Author

Eric W. Weisstein

Keywords

• nonn
• base

Comments

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

Links

• Hans Havermann, Table of n, a(n) for n = 1..1000 (corrected by Sean A. Irvine, Apr 28 2022)
• Eric Weisstein's World of Mathematics, Persistent Number

Crossrefs

Cf. A171102 (pandigital), A204047 (smallest n-persistent), A051264 (1-persistent), A051018 (2-persistent), A051019 (3-persistent), A204096 (5-persistent), A204097 (6-persistent).

Programs

PARI

is_A051020(n)=for(i=1, 5, 9<#Set(Vec(Str(i*n))) || return(i>4)) \\ M. F. Hasler, Jan 10 2012

Extensions

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

Sequence corrected by Hans Havermann, Jan 11 2012