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A090060
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Numbers n divisible by exactly five nontrivial permutations (rearrangements) of the digits of n.
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4
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OFFSET
| 1,1
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COMMENTS
| Trivial permutations are identified as (1) permutation = n, or (2) when n mod 10=0, permutations of n's digits which result in shifting only trailing zeros to the most significant side of n where they drop off, such that permutation = n/10^z, where z <= the number of trailing zeros of n. So if n were 1809000, the following permutations would be excluded as trivial: 1809000, 0180900, 0018090, 0001809.
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LINKS
| C. Seggelin, Numbers Divisible by Digit Permutations.
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EXAMPLE
| a(3)=98010 because 98010 is divisible by 198, 891, 1089, 8910 and 10890, five nontrivial permutations of 98010.
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CROSSREFS
| Cf. A090055, A090057, A090058, A090059, A090061.
Sequence in context: A195392 A172632 A033984 * A097238 A046180 A164648
Adjacent sequences: A090057 A090058 A090059 * A090061 A090062 A090063
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KEYWORD
| nonn,base
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AUTHOR
| Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
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