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 A227062 Numbers whose base-5 sum of digits is 5. 9
 9, 13, 17, 21, 29, 33, 37, 41, 45, 53, 57, 61, 65, 77, 81, 85, 101, 105, 129, 133, 137, 141, 145, 153, 157, 161, 165, 177, 181, 185, 201, 205, 225, 253, 257, 261, 265, 277, 281, 285, 301, 305, 325, 377, 381, 385, 401, 405, 425, 501, 505, 525, 629, 633, 637 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All of the entries are odd. Subsequence of A016813. - Michel Marcus, Sep 03 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 5-ary expansion of 9 is (1,4), which has sum of digits 5. The 5-ary expansion of 53 is (2,0,3), which has sum of digits 5. 10 is not on the list since the 5-ary expansion of 10 is (2,0), which has sum of digits 2 not 5. MATHEMATICA Select[Range@ 640, Total@ IntegerDigits[#, 5] == 5 &] (* Michael De Vlieger, Dec 23 2016 *) PROG (Sage) [i for i in [0..1000] if sum(Integer(i).digits(base=5))==5] (PARI) select( is(n)=sumdigits(n, 5)==5, [1..999]) \\ M. F. Hasler, Dec 23 2016 CROSSREFS Cf. A018900, A187813. Cf. A226636 (b = 3), A226969 (b = 4), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10). Sequence in context: A050109 A294357 A329388 * A134441 A174055 A273059 Adjacent sequences:  A227059 A227060 A227061 * A227063 A227064 A227065 KEYWORD nonn,base,easy AUTHOR Tom Edgar, Sep 01 2013 STATUS approved

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Last modified May 29 20:42 EDT 2020. Contains 334710 sequences. (Running on oeis4.)