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

Author

David W. Wilson

Keywords

• nonn
• base

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

Crossrefs

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

Programs

Mathematica

fQ[n_] := Sort@ IntegerDigits[ n] == Sort@ IntegerDigits[ 8n]; Select[ Range[0, 10328885], fQ] (* Robert G. Wilson v, Oct 25 2012 *)
Select[Range[0,103*10^5,9],Sort[IntegerDigits[#]]==Sort[IntegerDigits[8#]]&] (* Harvey P. Dale, Jul 18 2025 *)