A159816 Seven-digit terms in A023086.

1025874, 1028574, 1042587, 1042857, 1052874, 1054287, 1072854, 1074285, 1078524, 1078542, 1085274, 1085427, 1087254, 1087425, 1087524, 1087542, 1207854, 1208754, 1240785, 1240875, 1245789, 1245879, 1247589, 1247859, 1248579, 1248759, 1250874, 1254087, 1257489

Offset: 1

Author

Zak Seidov, Apr 22 2009

Keywords

• base
• nonn
• fini
• full
• changed

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. - Harvey P. Dale, Oct 30 2011

Examples

			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}.
		

Links

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

Crossrefs

Cf. A023086 (k and 2*k are anagrams), A023088 (k and 4*k are anagrams).

Programs

Mathematica

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