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A023092 Numbers k such that k and 8*k are anagrams. 10

%I #27 Jul 24 2021 08:36:30

%S 0,113967,116397,1014138,1045638,1064538,1139148,1139670,1139967,

%T 1141398,1156392,1163970,1163997,10014138,10045638,10064538,10141380,

%U 10145628,10148913,10149138,10182564,10265382,10268145,10288836,10289637,10296387

%N Numbers k such that k and 8*k are anagrams.

%C From _Robert G. Wilson v_, Oct 25 2012: (Start)

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

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

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

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

%C (End)

%C All terms are divisible by 9. - _Eric M. Schmidt_, Jul 12 2014

%H David W. Wilson, <a href="/A023092/b023092.txt">Table of n, a(n) for n = 1..10001</a>

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

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

%K nonn,base

%O 1,2

%A _David W. Wilson_

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Last modified September 2 20:32 EDT 2024. Contains 375616 sequences. (Running on oeis4.)