

A227238


Numbers whose base9 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
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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 baseb digits equal to b is a subset of { (b1)*k + 1; k = 2, 3, 4, ... }.  M. F. Hasler, Dec 23 2016


LINKS

Table of n, a(n) for n=1..54.


EXAMPLE

The 9ary expansion of 17 is (1,8), which has sum of digits 9.
The 9ary expansion of 169 is (2,0,7), which has sum of digits 9.
10 is not on the list since the 9ary 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



