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URL: https://oeis.org/A023092

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A023092
Numbers k such that k and 8*k are anagrams.
10
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
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 *)
KEYWORD
nonn,base
STATUS
approved