A245347 - OEIS

%I #10 Mar 16 2020 16:38:57

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

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

%U 15,11,12,13,14,15,16,17,18,4,5,6,7,8,9,10,11,7,8,9

%N Sum of digits of n written in fractional base 8/3.

%C The base 8/3 expansion is unique and thus the sum of digits function is well-defined.

%F a(n) = A007953(A053829(n)).

%e In base 8/3 the number 14 is represented by 36 and so a(14) = 3 + 6 = 9.

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

%o [basepqsum(8,3,w) for w in [0..200]]

%Y Cf. A007953, A000120, A024645, A053829, A244040.

%K nonn,base

%O 0,3

%A _Hailey R. Olafson_, Jul 18 2014