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A023089 Numbers k such that k and 5*k are anagrams. 9

%I #24 Feb 12 2021 01:25:50

%S 0,142857,148257,174285,174825,1025748,1028574,1057428,1057482,

%T 1082574,1085742,1402857,1408257,1420857,1425708,1425789,1425897,

%U 1428057,1428570,1428579,1428597,1429785,1429857,1457028,1457082,1457829,1458297,1480257

%N Numbers k such that k and 5*k are anagrams.

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

%C This is Schuh's (1968) "quintuples puzzle". - _Petros Hadjicostas_, Jul 28 2020

%D Fred Schuh, The Master Book of Mathematical Recreations, Dover, New York, 1968, pp. 35-37.

%H David W. Wilson, <a href="/A023089/b023089.txt">Table of n, a(n) for n = 1..10001</a>

%t si[n_] := Sort@ IntegerDigits@ n; Flatten@{0, Table[Select[Range[10^d + 8, 2 10^d - 1, 9], si[#] == si[5 #] &], {d, 0, 6}]} (* _Giovanni Resta_, Mar 20 2017 *)

%Y Cf. A023086, A023087, A023088, A023090, A023091, A023092, A023093.

%K nonn,base

%O 1,2

%A _David W. Wilson_

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Last modified April 25 08:27 EDT 2024. Contains 371964 sequences. (Running on oeis4.)