A033029 Numbers whose base-16 expansion has no run of digits with length < 2.

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

Offset: 1

Author

Clark Kimberling

Keywords

• nonn
• base

Comments

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

Examples

			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.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Programs

Mathematica

Select[Range[10000], Min[Length/@Split[IntegerDigits[#, 16]]] > 1 &] (* Vincenzo Librandi, Feb 05 2014 *)