A245338 - OEIS

%I #14 Mar 16 2020 16:28:42

%S 0,1,2,3,4,5,6,7,8,8,9,10,11,12,13,14,15,16,15,16,17,18,19,20,21,22,

%T 23,21,22,23,24,25,26,27,28,29,26,27,28,29,30,31,32,33,34,30,31,32,33,

%U 34,35,36,37,38,33,34,35,36,37,38,39,40,41,35,36,37,38,39

%N Sum of digits of n written in fractional base 9/8.

%C The base 9/8 expansion is unique and thus the sum of digits function is well-defined.

%F a(n) = A007953(A024656(n)).

%e In base 9/8 the number 16 is represented by 87 and so a(16) = 8 + 7 = 15.

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

%o [basepqsum(9,8,i) for i in [0..100]]

%Y Cf. A024656, A007953, A000120, A053830, A244040.

%K nonn,base

%O 0,3

%A _Tom Edgar_, Jul 18 2014