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A180478
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Numbers n such that r*n/k is an integer. n=(x_1 x_2 ... x_r) where x_i are digits of n, k = x_1 * x_2 * ... * x_r.
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1
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1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 14, 15, 21, 22, 24, 25, 36, 48, 63, 111, 112, 113, 115, 116, 128, 131, 132, 135, 144, 175, 192, 195, 212, 216, 224, 232, 311, 312, 315, 333, 371, 384, 416, 432, 612, 624, 672, 735, 816, 832, 912, 915
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OFFSET
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1,2
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COMMENTS
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A007602 is a subsequence of this sequence.
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LINKS
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EXAMPLE
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n=135, r=3, 3*135/1*3*5=27, n=135 belongs to the sequence.
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MATHEMATICA
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Select[Range[1000], DigitCount[#, 10, 0]==0&&IntegerQ[(IntegerLength[#]#)/ Times@@ IntegerDigits[#]]&] (* Harvey P. Dale, Nov 04 2019 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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STATUS
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approved
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