

A159816


Sevendigit terms in A023086 Numbers n such that n and 2*n are anagrams.


2



1025874, 1028574, 1042587, 1042857, 1052874, 1054287, 1072854, 1074285, 1078524, 1078542, 1085274, 1085427, 1087254, 1087425, 1087524, 1087542, 1207854, 1208754, 1240785, 1240875, 1245789, 1245879, 1247589, 1247859
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OFFSET

1,1


COMMENTS

All 288 terms have only two sets of digits: {{0,1,2,4,5,7,8},{1,2,4,5,7,8,9}} with exactly equal numbers of both sets = 144.
There are six 7d numbers n such that n, 2*n and 4*n are anagrams, that is intersection of 7d subsequences in A023086 and A023088: 1294857, 1428507, 1428570, 1428705, 1429857, 1492857.
These are all "norep" numbers, i.e., numbers with any repetitive digit are not permitted. [From Harvey P. Dale, Oct 30 2011]


LINKS

Zak Seidov, Table of n, a(n) for n = 1..288


EXAMPLE

a(1)=1025874 because 1025874 and 2*1025874=2051748 both use the same set of digits {0,1,2,4,5,7,8};
a(21)=1245789 because 1245789 and 2*1245789=2491578 both use the same set of digits {1,2,4,5,7,8,9}.


MATHEMATICA

anaQ[n_]:=Max[DigitCount[n]]==1&&Union[IntegerDigits[n]] == Union[ IntegerDigits[2n]]; Select[Range[1000000, 1250000], anaQ] (* Harvey P. Dale, Oct 30 2011 *)


CROSSREFS

A023086 n and 2k are anagrams, A023088 n and 4n are anagrams.
Sequence in context: A241790 A143133 A235106 * A254567 A235722 A115497
Adjacent sequences: A159813 A159814 A159815 * A159817 A159818 A159819


KEYWORD

base,nonn,fini,full


AUTHOR

Zak Seidov, Apr 22 2009


STATUS

approved



