login
A119247
Numbers not containing their digital root in decimal representation.
2
11, 12, 13, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38, 41, 42, 43, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 63, 64, 65, 66, 67, 68, 71, 72, 73, 74, 75, 76, 77, 78, 81, 82, 83, 84, 85, 86, 87, 88, 101
OFFSET
1,1
COMMENTS
Complement of A119246.
The ISO human tooth numbering consists of the first 32 terms of this sequence. - Jean-François Alcover, Sep 12 2015
LINKS
Eric Weisstein's World of Mathematics, Digital Root
Wikipedia, Dental notation, section ISO System by the World Health Organization
MAPLE
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
MATHEMATICA
d[n_] := IntegerDigits[n]; Select[Range[101], FreeQ[d[#1], NestWhile[Total[d[#]] &, #1, # > 9 &]] &] (* Jayanta Basu, Jul 13 2013 *)
CROSSREFS
Cf. A010888.
Sequence in context: A347471 A162672 A110403 * A297269 A296710 A297143
KEYWORD
nonn,easy,base
AUTHOR
Reinhard Zumkeller, May 10 2006
STATUS
approved