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A029484
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Numbers k that divide the (left) concatenation of all numbers <= k written in base 15 (most significant digit on left).
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0
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1, 7, 32, 49, 61, 91, 169, 224, 791, 1568, 10304, 34112, 160832, 733376, 966721, 1127392, 4197571, 10914848, 13250272, 15000608, 62776133, 70412363, 82053664
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OFFSET
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1,2
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COMMENTS
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No other terms below 10^8.
No multiple of 3 or 5 can be in this sequence, since the numbers resulting from these concatenations are all congruent to 1 mod 15. - Alonso del Arte, Sep 16 2016
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LINKS
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EXAMPLE
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In base 15, 7654321 is 84557956 in decimal, and we verify that this is a multiple of 7, as 84557956/7 = 12079708. Hence 7 is in the sequence.
87654321 base 15 is 1451432956 and 1451432956/8 = 181429119.5. Hence 8 is not in the sequence.
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MATHEMATICA
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Select[Range[10^3], Divisible[FromDigits[#, 15] &@ Flatten@ Reverse@ IntegerDigits[Range@ #, 15], #] &] (* Michael De Vlieger, Sep 16 2016 *)
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CROSSREFS
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KEYWORD
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nonn,base,more
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AUTHOR
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Jun 01 2001
Edited and updated by Larry Reeves (larryr(AT)acm.org), Apr 12 2002
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STATUS
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approved
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