A033029 - OEIS

%I #14 Aug 14 2021 18:53:22

%S 17,34,51,68,85,102,119,136,153,170,187,204,221,238,255,273,546,819,

%T 1092,1365,1638,1911,2184,2457,2730,3003,3276,3549,3822,4095,4352,

%U 4369,4386,4403,4420,4437,4454,4471,4488,4505,4522,4539

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

%C 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

%H Vincenzo Librandi, <a href="/A033029/b033029.txt">Table of n, a(n) for n = 1..1000</a>

%e 255 in hexadecimal is FF, a run of two Fs, hence 255 is in the sequence.

%e 273 in hexadecimal is 111, a run of three 1s, hence 273 is in the sequence.

%e 291 in hexadecimal is 123, three distinct single digits, so 291 is not in the sequence.

%t Select[Range[10000], Min[Length/@Split[IntegerDigits[#, 16]]] > 1 &] (* _Vincenzo Librandi_, Feb 05 2014 *)

%K nonn,base

%O 1,1

%A _Clark Kimberling_