A023092 Numbers k such that k and 8*k are anagrams.

0, 113967, 116397, 1014138, 1045638, 1064538, 1139148, 1139670, 1139967, 1141398, 1156392, 1163970, 1163997, 10014138, 10045638, 10064538, 10141380, 10145628, 10148913, 10149138, 10182564, 10265382, 10268145, 10288836, 10289637, 10296387

Offset

1,2

Comments

From Robert G. Wilson v, Oct 25 2012: (Start)

10^(k-1) < a(n) < 10^k/8 for all n > 0 and some k.

Number of terms < 10^k: 1, 1, 1, 1, 1, 3, 13, 92, 725, 5578, 41312, ...

First term > 10^k: 113967, 1014138, 10014138, 100014138, 1000014138, 10000014138, 100000014138, ...

First term < 10^k: 116397, 1163997, 12395169, 124839279, 1249839279, 12499839279, 124999839279, ...

(End)

All terms are divisible by 9. - Eric M. Schmidt, Jul 12 2014

Links

David W. Wilson, Table of n, a(n) for n = 1..10001

Mathematica

fQ[n_] := Sort@ IntegerDigits[ n] == Sort@ IntegerDigits[ 8n]; Select[ Range[0, 10328885], fQ] (* Robert G. Wilson v, Oct 25 2012 *)

Crossrefs

Cf. A023086, A023087, A023088, A023089, A023090, A023091, A023093.

Sequence in context: A253118 A138266 A175697 * A376275 A221334 A069371

Adjacent sequences: A023089 A023090 A023091 * A023093 A023094 A023095

Keyword

nonn,base

Author

David W. Wilson

Status

approved