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 A227062 Numbers whose base-5 sum of digits is 5. 9

%I

%S 9,13,17,21,29,33,37,41,45,53,57,61,65,77,81,85,101,105,129,133,137,

%T 141,145,153,157,161,165,177,181,185,201,205,225,253,257,261,265,277,

%U 281,285,301,305,325,377,381,385,401,405,425,501,505,525,629,633,637

%N Numbers whose base-5 sum of digits is 5.

%C All of the entries are odd.

%C Subsequence of A016813. - _Michel Marcus_, Sep 03 2013

%C 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

%e The 5-ary expansion of 9 is (1,4), which has sum of digits 5.

%e The 5-ary expansion of 53 is (2,0,3), which has sum of digits 5.

%e 10 is not on the list since the 5-ary expansion of 10 is (2,0), which has sum of digits 2 not 5.

%t Select[Range@ 640, Total@ IntegerDigits[#, 5] == 5 &] (* _Michael De Vlieger_, Dec 23 2016 *)

%o (Sage) [i for i in [0..1000] if sum(Integer(i).digits(base=5))==5]

%o (PARI) select( is(n)=sumdigits(n,5)==5, [1..999]) \\ _M. F. Hasler_, Dec 23 2016

%Y Cf. A018900, A187813.

%Y Cf. A226636 (b = 3), A226969 (b = 4), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10).

%K nonn,base,easy

%O 1,1

%A _Tom Edgar_, Sep 01 2013

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Last modified July 10 00:25 EDT 2020. Contains 335570 sequences. (Running on oeis4.)