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A033029
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Numbers whose base-16 expansion has no run of digits with length < 2.
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30
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17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 273, 546, 819, 1092, 1365, 1638, 1911, 2184, 2457, 2730, 3003, 3276, 3549, 3822, 4095, 4352, 4369, 4386, 4403, 4420, 4437, 4454, 4471, 4488, 4505, 4522, 4539
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OFFSET
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1,1
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COMMENTS
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First term that is not a multiple of 17 (A008599) is 273, which is one more than 272 = 16 * 17. In hexadecimal, 272 is 110, which having a single 0 next to a 1, disqualifies it from this sequence. - Alonso del Arte, Oct 16 2016
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LINKS
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EXAMPLE
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255 in hexadecimal is FF, a run of two Fs, hence 255 is in the sequence.
273 in hexadecimal is 111, a run of three 1s, hence 273 is in the sequence.
291 in hexadecimal is 123, three distinct single digits, so 291 is not in the sequence.
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MATHEMATICA
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Select[Range[10000], Min[Length/@Split[IntegerDigits[#, 16]]] > 1 &] (* Vincenzo Librandi, Feb 05 2014 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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