A227238 Numbers whose base-9 sum of digits is 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

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

Michael S. Branicky, Table of n, a(n) for n = 1..10000

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
(Python)
agen = A226636gen(sod=9, base=9) # generator of terms using code in A226636
print([next(agen) for n in range(1, 55)]) # Michael S. Branicky, Jul 10 2022

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 A355769

Adjacent sequences: A227235 A227236 A227237 * A227239 A227240 A227241

Keyword

nonn,base,easy

Author

Tom Edgar, Sep 01 2013

Status

approved