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A078199
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Smallest multiple of n (for n >= 100) in which frequency of each occurring digit is the same.
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2
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1100, 1010, 102, 103, 104, 105, 106, 107, 108, 109, 1100, 111, 560, 452, 342, 230, 348, 234, 236, 238, 120, 605, 610, 123, 124, 125, 126, 127, 128, 129, 130, 524, 132, 532, 134, 135, 136, 137, 138, 139, 140, 423, 142, 143, 432, 145, 146, 147, 148, 149, 150
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OFFSET
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100,1
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COMMENTS
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Numbers from 1 to 99 are trivial and have been omitted.
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LINKS
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EXAMPLE
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a(112)=560 because 560 = 5*112 contains each of its digits once, while 112, 2*112=224, 3*112=336 and 4*112=448 do not have equal frequencies of their digits. - Robert Israel, Jun 08 2020
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MAPLE
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filter:= proc(n) local L;
L:= convert(n, base, 10);
nops({seq(numboccur(d, L), d=L)}) = 1
end proc:
f:= proc(n) local k;
for k from n by n do if filter(k) then return k fi od
end proc:
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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