

A227080


Numbers whose base6 sum of digits is 6.


10



11, 16, 21, 26, 31, 41, 46, 51, 56, 61, 66, 76, 81, 86, 91, 96, 111, 116, 121, 126, 146, 151, 156, 181, 186, 221, 226, 231, 236, 241, 246, 256, 261, 266, 271, 276, 291, 296, 301, 306, 326, 331, 336, 361, 366, 396, 436, 441, 446, 451, 456, 471, 476, 481, 486
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OFFSET

1,1


COMMENTS

Subsequence of A016861.  Michel Marcus, Sep 03 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

Harvey P. Dale, Table of n, a(n) for n = 1..1000


EXAMPLE

The 6ary expansion of 11 is (1,5), which has sum of digits 6.
The 6ary expansion of 46 is (1,1,4), which has sum of digits 6.
9 is not on the list since the 6ary expansion of 10 is (1,3), which has sum of digits 4 not 6.


MATHEMATICA

Select[Range[500], Total[IntegerDigits[#, 6]]==6&] (* Harvey P. Dale, Nov 25 2016 *)


PROG

(Sage) [i for i in [0..1000] if sum(Integer(i).digits(base=6))==6]
(PARI) select( is(n)=sumdigits(n, 6)==6, [1..999]) \\ M. F. Hasler, Dec 23 2016


CROSSREFS

Cf. A018900, A187813.
Cf. A226636 (b = 3), A226639 (b = 4), A227062 (b = 5), A227080 (b = 6), A227092 (b = 7), A227095 (b = 8), A227238 (b = 9), A052224 (b = 10).
Sequence in context: A132990 A074197 A106673 * A131858 A258588 A110031
Adjacent sequences: A227077 A227078 A227079 * A227081 A227082 A227083


KEYWORD

nonn,base


AUTHOR

Tom Edgar, Sep 01 2013


STATUS

approved



