%I #22 Feb 16 2025 08:33:01

%S 11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,

%T 38,41,42,43,44,45,46,47,48,51,52,53,54,55,56,57,58,61,62,63,64,65,66,

%U 67,68,71,72,73,74,75,76,77,78,81,82,83,84,85,86,87,88,101

%N Numbers not containing their digital root in decimal representation.

%C Complement of A119246.

%C The ISO human tooth numbering consists of the first 32 terms of this sequence. - _Jean-François Alcover_, Sep 12 2015

%H Nathaniel Johnston, <a href="/A119247/b119247.txt">Table of n, a(n) for n = 1..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DigitalRoot.html">Digital Root</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Dental_notation#ISO_System_by_the_World_Health_Organization">Dental notation</a>, section ISO System by the World Health Organization

%p A119247 := proc(n) option remember: local k: if(n=1)then return 11:fi: for k from procname(n-1)+1 do if(not ((k-1) mod 9) + 1 in convert(convert(k,base,10),set))then return k: fi: od: end: seq(A119247(n), n=1..65); # _Nathaniel Johnston_, May 05 2011

%t d[n_] := IntegerDigits[n]; Select[Range[101], FreeQ[d[#1], NestWhile[Total[d[#]] &, #1, # > 9 &]] &] (* _Jayanta Basu_, Jul 13 2013 *)

%Y Cf. A010888.

%K nonn,easy,base,changed

%O 1,1

%A _Reinhard Zumkeller_, May 10 2006