A147749 Eight-digit numbers with all distinct digits with property that the string formed by the last k digits is divisible by k for any 1<=k<=8.

12495360, 12573480, 12576840, 12579360, 12597840, 12639840, 12657480, 12738960, 12765840, 12789360, 12843960, 12894360, 12957360, 12975840, 12978360, 13276840, 13297840, 13567480, 13579240, 13672480, 13675840

Offset

1,1

Comments

There are exactly 921 such numbers with smallest 12495360 and the largest 98765120.

Links

Zak Seidov, Table of n, a(n) for n = 1..921 (complete sequence)

Mathematica

se8={}; Do[If[8-Length@Union@IntegerDigits[n]==Mod[Mod[n, 10^3], 24]== Mod[Mod[n, 10^6], 6]==Mod[Mod[n, 10^7], 7]==0, AppendTo[se8, n]], {n, 10000020, 99999999, 20}]; se8
Sort[FromDigits/@Select[Select[Flatten[Permutations/@Subsets[Range[0, 9], {8}], 1], First[#]>0&], And@@Table[Divisible[FromDigits[Take[#, -i]], i], {i, 8}]&]] (* Harvey P. Dale, Aug 19 2013 *)

Crossrefs

A140501, A147636, A147637, A147647.

Sequence in context: A187399 A102335 A083405 * A175753 A251472 A256734

Adjacent sequences: A147746 A147747 A147748 * A147750 A147751 A147752

Keyword

nonn,base,fini,full

Author

Zak Seidov, Nov 11 2008

Status

approved