A245346 - OEIS

%I #11 Mar 16 2020 16:39:43

%S 0,1,2,3,4,5,6,7,8,9,3,4,5,6,7,8,9,10,11,12,6,7,8,9,10,11,12,13,14,15,

%T 9,10,11,12,13,14,15,16,17,18,5,6,7,8,9,10,11,12,13,14,8,9,10,11,12,

%U 13,14,15,16,17,11,12,13,14,15,16,17,18,19,20,7,8,9

%N Sum of digits of n in fractional base 10/3.

%C The base 10/3 expansion is unique, and thus the sum of digits function is well-defined.

%e In base 10/3 the number 11 is represented by 31 and so a(11) = 3 + 1 = 4.

%o (Sage) # uses [basepqsum from A245355]

%o [basepqsum(10,3,y) for y in [0..200]]

%Y Cf. A024658, A007953.

%K nonn,base

%O 0,3

%A _James Van Alstine_, Jul 18 2014