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 A227238 Numbers whose base-9 sum of digits is 9. 9
 17, 25, 33, 41, 49, 57, 65, 73, 89, 97, 105, 113, 121, 129, 137, 145, 153, 169, 177, 185, 193, 201, 209, 217, 225, 249, 257, 265, 273, 281, 289, 297, 329, 337, 345, 353, 361, 369, 409, 417, 425, 433, 441, 489, 497, 505, 513, 569, 577, 585, 649, 657, 737, 745 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All of the entries are odd. Subsequence of A017077. - Michel Marcus, Sep 02 2013 In general, the set of numbers with sum of base-b digits equal to b is a subset of { (b-1)*k + 1; k = 2, 3, 4, ... }. - M. F. Hasler, Dec 23 2016 LINKS EXAMPLE The 9-ary expansion of 17 is (1,8), which has sum of digits 9. The 9-ary expansion of 169 is (2,0,7), which has sum of digits 9. 10 is not on the list since the 9-ary expansion of 10 is (1,1), which has sum of digits 2 not 9. MATHEMATICA Select[Range@ 750, Total@ IntegerDigits[#, 9] == 9 &] (* Michael De Vlieger, Dec 23 2016 *) PROG (Sage) [i for i in [0..1000] if sum(Integer(i).digits(base=9))==9] (PARI) select( is(n)=sumdigits(n, 9)==9, [1..999]) \\ M. F. Hasler, Dec 23 2016 CROSSREFS Cf. A018900, A187813. Cf. A226636 (b = 3), A226969 (b = 4), A227062 (b = 5), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10). Sequence in context: A082130 A140609 A131275 * A294689 A263540 A183346 Adjacent sequences:  A227235 A227236 A227237 * A227239 A227240 A227241 KEYWORD nonn,base,easy AUTHOR Tom Edgar, Sep 01 2013 STATUS approved

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Last modified September 19 15:08 EDT 2019. Contains 327198 sequences. (Running on oeis4.)