A159816 Seven-digit terms in A023086 Numbers n such that n and 2*n are anagrams.

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

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 7-d numbers n such that n, 2*n and 4*n are anagrams, that is intersection of 7-d 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