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

0, 142857, 148257, 174285, 174825, 1025748, 1028574, 1057428, 1057482, 1082574, 1085742, 1402857, 1408257, 1420857, 1425708, 1425789, 1425897, 1428057, 1428570, 1428579, 1428597, 1429785, 1429857, 1457028, 1457082, 1457829, 1458297, 1480257

Offset

1,2

Comments

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

This is Schuh's (1968) "quintuples puzzle". - Petros Hadjicostas, Jul 28 2020

References

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

Links

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

Mathematica

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 *)

Crossrefs

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

Sequence in context: A263037 A086999 A175694 * A166320 A101202 A323711

Adjacent sequences: A023086 A023087 A023088 * A023090 A023091 A023092

Keyword

nonn,base

Author

David W. Wilson

Status

approved